Question

Which expression is equivalent to (144k2r14)1/2 for all positive values of k and r ?

A.144kr7

B.12kr7

C.12k2r4

D.72k2r14

Answer 1

12kr⁷ is the equivalent expression.

Explanation:

We need to find an expression that is equivalent to
`(144k^2r^(14))^(1/2)`

We know that, 12² = 144

`(144k^2r^(14))^(1/2)=(12^2* k^2* r^(14))^(1/2)\\\\=12^{2* (1)/(2)}* k^{2* (1)/(2)}* r^{14* (1)/(2)}\\\\=12* k* r^7\\\\=12kr^7`

So, the equivalent expression is
`12kr^7`. Hence, the correct option is (B).