Answered

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

A.144kr7

B.12kr7

C.12k2r4

D.72k2r14

Sagot :

Answer:

12kr⁷ is the equivalent expression.

Step-by-step explanation:

We need to find an expression that is equivalent to [tex](144k^2r^{14})^{1/2}[/tex]

We know that, 12² = 144

[tex](144k^2r^{14})^{1/2}=(12^2\times k^2\times r^{14})^{1/2}\\\\=12^{2\times \dfrac{1}{2}}\times k^{2\times \dfrac{1}{2}}\times r^{14\times \dfrac{1}{2}}\\\\=12\times k\times r^7\\\\=12kr^7[/tex]

So, the equivalent expression is [tex]12kr^7[/tex]. Hence, the correct option is (B).

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