im confused how to simplify this?

2009-01-07 5:22 am
SQUAREroot (5A^5B^2/45AB^12)


PLEASE EXPLAIN TO ME

回答 (3)

2009-01-07 5:38 am
✔ 最佳答案
first, you simplify the fractions:

5 / 45 = 1/9

A^5 / A = A^4

B^2 / B^12 = 1 / B^10

So you get:

square root (A^4 / 9B^10)

To take the square root of the variables, divide the exponent by 2. The square root of 9 is 3

= A^2 / 3B^5
2009-01-07 5:34 am
sqrt(5A^5B^2/45AB^12)
=sqrt(A^5B^2/9AB^12) (on dividing 45 by 5)
=sqrt(A^4B^2/9B^12) (on dividing A^5 by A)
=sqrt(A^4/9B^10) (on dividing B^12 by B^2)
= A^2/3B^5
Ans: A^2/3B^5
2009-01-07 5:34 am
√(5a^2b^2/45ab^12)
= √(a/9b^10)
= √(a * 1/3b^5 * 1/3b^5)
= (1/3b^5)√(a/3b^5)


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