Question

Which of the following is equivalent to 60^1/2

Answer 1

sqrt(60)
the power to 1/2 means taking the sqrt

Answer 2

B.
`√(60)`

Explanation:

We have been given an expression
`(60)^{(1)/(2)}`. We are asked to find the equivalent expression to our given expression.

We will use law of exponents to solve our given problem.

Using property
`\sqrt[n]{a^m}=a^{(m)/(n)` we can rewrite our given expression as:

`(60)^{(1)/(2)}=√(60^1)`

`(60)^{(1)/(2)}=√(60)`

Upon looking at our given choices we can see that option B is the correct choice.