MULTIPLICATION AND DIVISION OF RADICALS
1. MULTIPLICATION AND DIVISION OF RADICALS
Answer:
Multiplying Radicals: When multiplying radicals (with the same index), multiply under the radical, and then multiply in front of the radical (any values multiplied times the radicals). Multiply the values under the radicals. Then simplify the result.
2. multiplication and division of radicals
Answer:
Question 1
Answer: 3
√3 x √3
simplify the radical expression
↓
3
Question 2
Answer: 48√5
2√12 x 4√15
multiply numbers with radicals
↓
8√180
Factor and rewrite the radicand in exponential form
↓
8√6² x 5
Question 3
Answer: 6
2√3 x √3
simplify the radical expression
↓
2 x 3
Calculate the product or quotient
↓
6
Question 4
Answer: 5
4
√25
2√4
Factor and rewrite the radicand in exponential form
↓
√5²
2√2²
simplify the radical expression
↓
5
2 x 2
Question 5
Answer:
1
5
√4
2√25
Factor and rewrite the radicand in exponential form
↓
√2²
2√5²
simplify the radical expression
↓
2
2 x 5
Step-by-step explanation:
tma bqo?.
3. multiplication and division of radicals
Answer:
1. 13
2. 18
3. 33
4. 5/6
5. 25
4. multiplication of radicals example
1.)\/3 x\/3= \/9;
=3;
2.) \/4 x \/9;
=\/36;
=6
5. topic: MULTIPLICATION AND DIVISION OF RADICALS
Answer:
sorry po bago palang aq
Step-by-step explanation:
Multiplication multiplication
6. what you have learned about multiplication and division of radicals
Answer:Any expression that contains the square root of a number is a radical expression. ... Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations. Step-by-step explanation:#CARRYONLEARNING
7. multiple radicals answer
Answer:
The "index" is the very small number written just to the left of the uppermost line in the radical symbol. If there is no index number, the radical is understood to be a square root (index 2) and can be multiplied with other square roots.
Step-by-step explanation:
To multiply radicals using the basic method, they have to have the same index.
8. Division of radicals
When dividing radicals with the same index, divide the radicands and the index remains the same.
Division with the Same Index
Dividing Radicals
Dividing Radicals
When dividing radicals with the same index, divide the radicands and the index remains the same.
Division with the Same Index
Dividing Radicals
Dividing Radicals
9. multiplication and division of radicals
Answer:
1.)3a
2.)[tex]48 \sqrt{5b {}^{2} } [/tex]
3.)[tex]6 \sqrt{xy} [/tex]
4.)
5|x|
4|y|
5.)[tex]a \sqrt{ab} [/tex]
[tex]5b {}^{2} [/tex]
(SANA MA GETS NYO ANSWER KO:>)
THANKS ME LATER.
10. how to divide radicals? (division of radicals)
When dividing radical expressions, use the quotient rule.For all real values, a and b, b ≠ 0If n is even, and a ≥ 0, b > 0, then If n is odd, and b ≠ 0, then That's a mathematical symbols way of saying that when the index is even there can be no negative number in the radicand, but when the index is odd, there can be.Radical expressions are written in simplest terms whenThe index is as small as possible.The radicand contains no factor (other than 1) which is the nth or greater power of an integer or polynomial.The radicand contains no fractions.No radicals appear in the denominator.Example 1Simplify each of the following.Using the quotient rule for radicals,Using the quotient rule for radicals,use the quotient rule.
11. multiplication of radicals
Answer:
Step-by-step explanation:
Are you asking for the process?
1 .20
2. 84?
he slowly getting
12. MULTIPLICATION OF RADICALS MULTIPLY AND SIMPLIFY THE FOLLOWING RADICALS SHOW YOUR SOLUTIONS.
Answer:
maging matalino kayo okay
13. Create a step-by-step process on how to solve and simplify multiplication and division of radical expressions.
Answer:
accepting question from 30 points pi ako eh30
14. multiplication and division of radicals
Answer:
Madali lang yan,Answer mona lang ok
Step-by-step explanation:
cause 1973×8336 1÷53
Answer:
hwhjwjwjsjzbnsjwwbwu2jwjjejee
15. multiplication of radicals
Answer:
Yan po examples of your questions
Step-by-step explanation:
I hope this
16. Multiplication of radicals
please see the picture for answer
Answer:
14Step-by-step explanation:
(4 - √2) (4 + √2)
= (4)² + (-4√2) + (4√2) + (-(√2)²)
= 16 + (-2)
= 16 - 2
= 1417. In multiplication and division of polynomials containing radicals what is (□root of 2+2)(□root of 2-3) ?
(√2+2)(√2-3)
(√4)(√2-3)
(2)(√2-3)
=2√2-3
18. Division of radicals
Answer:
Rationalize(1.08886688879) I short 1.09 I guess
Step-by-step explanation:
hope it's help:)
19. multiplication and division radicals, pasagot po ng maayos at thank you sa mag sasagot i appreciate it po...
Answer:
6. B
7. D
8. B
9. D
10. C
Step-by-step explanation:
20. Pa help po Please Topic: (Multiplication and division of Radicals) (With solution)Thank you
Step-by-step explanation:
Please see the picture for answer and solution
sorry for the handwriting ang the picture quality ～～
21. addition, division, multiplication, subtruction of radicals (pa answer please thankyou!! kung pwede may solution mas okay,, tysm!)
2.) GIVEN: 1ST = [tex]\sqrt{10}[/tex]
2ND = [tex]\sqrt{10}[/tex]
ADD:
[tex]\sqrt{10} + \sqrt{10} = 2\sqrt{10}[/tex]
SUBTRACT:
[tex]\sqrt{10} - \sqrt{10} = 0[/tex]
MULTIPLY:
[tex]\sqrt{10} \cdot \sqrt{10} = 10[/tex]
DIVIDE:
[tex]\frac{\sqrt{10} }{\sqrt{10} } = 1[/tex]
3.) GIVEN: 1ST = [tex]3a\sqrt{5}[/tex]
2ND = [tex]a\sqrt{10}[/tex]
ADD:
[tex]3a\sqrt{5}+a\sqrt{10} = a\left(3\sqrt{5}+\sqrt{10}\right)[/tex]
SUBTRACT:
[tex]3a\sqrt{5}-a\sqrt{10} = a\left(3\sqrt{5}-\sqrt{10}\right)[/tex]
MULTIPLY:
[tex]3a\sqrt{5}\cdot \:a\sqrt{10} = 15\sqrt{2}a^2[/tex]
DIVIDE:
[tex]\frac{3a\sqrt{5}}{a\sqrt{10}} = \frac{3\sqrt{2}}{2}[/tex]
4.) GIVEN: 1ST = [tex]7\sqrt{b}[/tex]
2ND = [tex]2\sqrt{b}[/tex]
ADD:
[tex]7\sqrt{b} + 2\sqrt{b} = 9\sqrt{b}[/tex]
SUBTRACT:
[tex]7\sqrt{b}\:-\:2\sqrt{b} = 5\sqrt{b}[/tex]
MULTIPLY:
[tex]7\sqrt{b}\:\cdot \:2\sqrt{b} = 14b[/tex]
DIVIDE:
[tex]\frac{7\sqrt{b}}{\:2\sqrt{b}} = \frac{7}{2}[/tex]
5.) GIVEN: 1ST = [tex]9\sqrt{2a^{2}b }[/tex]
2ND = [tex]2\sqrt{xy}[/tex]
ADD:
[tex]9\sqrt{2a^2 b} + 2\sqrt{xy} \\2\sqrt{a^2 b} = \sqrt{2}a\sqrt{b} \\9\sqrt{2}a\sqrt{b}+2\sqrt{xy}[/tex]
SUBTRACT:
[tex]9\sqrt{2a^2\:b}\:\:-\:2\sqrt{xy}\:\\2\sqrt{a^2 b} = \sqrt{2} a\sqrt{b} \\9\sqrt{2}a\sqrt{b}-2\sqrt{xy}[/tex]
MULTIPLY:
[tex]9\sqrt{2a^2\:b}\:\:\cdot \:2\sqrt{xy}\:\\9\cdot \:2\sqrt{2}a\sqrt{b}\sqrt{xy}\\18\sqrt{2}a\sqrt{b}\sqrt{xy}[/tex]
DIVIDE:
[tex]\frac{9\sqrt{2a^2\:b}}{2\sqrt{xy}\:}\\\frac{9\sqrt{2}a\sqrt{b}}{2\sqrt{xy}}\\\frac{9\sqrt{2}a\sqrt{b}\sqrt{xy}}{2xy}[/tex]
22. perform operations of radical expression addition subtraction multiplication and division of radicals.pasagot po mgaate at kuyagrade9 mathematics
Answer:
1) 7√5
[tex]2) \: 6\sqrt[3]{3x} [/tex]
3) √3
4) 4√7
5) 7√5-5√3
6) -2
7) 4
8) 6√3
9) 2
[tex]10) \: x\sqrt[4]{5x} [/tex]
hope this helps
23. Pa help po Please Topic: (Multiplication and division of Radicals) (Answer only)Thank you
Answer:
1. a^3/2 3√a
2. 4-3√2
3. 3/4
4. 3/2
5. √7 (√3 + √2)
Step-by-step explanation:
24. How to solve division of radicals
use the distributive property to multiply. Therae are no like terms combined. when dividing radicals with the me indexes divide under the radical and divide in front of the radical (divide any values multiplied times the radical)
25. multiplication of radicals
Answer:
[tex] \sqrt{3} \times 3 \sqrt{72} [/tex]
[tex] \sqrt{3} \times 3 \sqrt{ {6}^{2} \times 2} [/tex]
[tex] \sqrt{3} \times 3\sqrt{ {6}^{2} } \sqrt{2} [/tex]
[tex] \sqrt{3} \times 3 \times6 \sqrt{2} [/tex]
[tex] \sqrt{3 \times 2} \times 18[/tex]
[tex] \sqrt{6} \times 18[/tex]
[tex]answer \\ 18 \sqrt{6} [/tex]
Answer:
18√6Step-by-step explanation:
√3 × 3√72
= (1) · (3)√(3)·√(72)
= 3√216
Factor the radicand 216 where one of the factors is a perfect square:
= 3 √(36) · √(6)
= 3 · 6√6
= 18√626. Multiplication and division of radicalsFind the product.1. (square root of 8ab) (square root of 2ab^2)2. (cube root of 32) (cube root of 2)
1. 4ab√b
2. 4
that is my answer
27. Pa help po Please Topic: (Multiplication and division of Radicals) (With solution)Thank you
Answer:
are not = 20
and irreplaceable = [tex] \sqrt[21]{ {7}^{10} } [/tex]
consider yourself = [tex] \frac{4}{3} [/tex]
Do not = 6
each one = [tex]9x {y}^{2} \sqrt[3]{ {x}^{2} {y}^{2} }[/tex]
for people = [tex]48 {a}^{3} [/tex]
is unique = [tex] \sqrt[6]{8728} [/tex]
more or less = 3
nor even equal = [tex] {a}^{2} - 7 \sqrt{a} [/tex]
of identical quality = 70
to others = [tex] \frac{1}{3} [/tex]
Do not consider yourself more or less nor even equal to others for people are not of identical quality, each one is unique and irreplaceable
Step-by-step explanation:
[tex] \sqrt{2} \times 5 \sqrt{8} \\ \sqrt{2} \times 5 \sqrt{4(2)} \\ \sqrt{2} \times 5(2) \sqrt{2} \\ \sqrt{2} \times 10 \sqrt{2} \\ = 10 \sqrt{4} \\ = 10(2) \\ = 20[/tex]
[tex] \sqrt[3]{7} \times \sqrt[7]{7} \\ \sqrt[21]{ {7}^{7} } \times \sqrt[21]{ { {7}^{3}} } \\ = \sqrt[21]{ {7}^{7} \times {7}^{3} } \\ = \sqrt[21]{ {7}^{10} } [/tex]
[tex] \frac{4 \sqrt{3} }{3 \sqrt{3} } \\ \frac{4}{3} \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ 1.33 \times 1 \\ = 1.33 \: or \: \frac{4}{3} [/tex]
[tex] \sqrt{9} \times \sqrt{4} \\ 3 \times 2 \\ = 6[/tex]
[tex] \sqrt[3]{9x {y}^{2} } \times 3 \sqrt[3]{3 {x}^{4} {y}^{6} } \\ \sqrt[3]{9x {y}^{2} (3 {x}^{4} {y}^{6} )} \\ \sqrt[3]{27 {x}^{5} {y}^{8} } \\ = 3(3 {x} {y}^{2}) \sqrt[3]{ {x}^{2} {y}^{2} } \\ = 9x {y}^{2} \sqrt[3]{ {x}^{2} {y}^{2} }[/tex]
[tex] {(4 \sqrt{3 {a}^{3} } )}^{2} \\ {(4a\sqrt{3 {a} } )}^{2} \\ 16 {a}^{2} (3a) \\ = 48 {a}^{3} [/tex]
[tex] \sqrt{3} \times \sqrt[3]{18} \\ \sqrt[6]{ {3}^{3} } \times \sqrt[6]{ {18}^{2} } \\ \sqrt[6]{27 \times 324} \\ = \sqrt[6] {8748} \\ or\\ \sqrt[6]{729(12)} \\ = 3 \sqrt[6]{12} [/tex]
[tex] \frac{ \sqrt{27} }{ \sqrt{3} } \\ \frac{ \sqrt{9(3)} }{ \sqrt{3} } \\ \frac{3 \sqrt{3} }{ \sqrt{3} } \\ = 3[/tex]
Please see the pictures for the last three~
28. describe the rules for multiplication and division of radicals please answer..❤️
Answer:
Express the division of the rational numbers in fraction form. Keep the rational number in numerator position as it is but multiply it by the reciprocal of the rational number in the denominator. Multiply the rational numbers, then find the product of them and it is equal to the quotient of the division of the given rational numbers.
29. multiplication of radicals
Answer:
multiply using foil:
[tex]( \sqrt{5} + 2)^{2} [/tex]
[tex] ( \sqrt{5} + 2) \times ( \sqrt{5} + 2)[/tex]
[tex] \sqrt{5} \sqrt{5} + 2 \sqrt{5} + 2 \sqrt{5} + 2 \times 2[/tex]
[tex]5 + 2 \sqrt{5} + 2 \sqrt{5} + 4[/tex]
[tex]answer \: = 9 + 4 \sqrt{5} [/tex]
simplify using formula:
[tex]( \sqrt{5} + 2)^{2} [/tex]
[tex] \sqrt{5}^{2} + 2 \sqrt{5} + 2 \times {2}^{2} [/tex]
[tex]5 + 4 \sqrt{5} + 4[/tex]
[tex]answer \: = 9 + 4 \sqrt{5} [/tex]
30. (multiplication and division pf radicals)please paki answer po asap! ty
Answer:
3.) 4⁴√6
4.) √3³√9
Hope this helps
