Question

Question 25 of 41 Which of the following does
`( \sqrt{s) {}^(2) }`simplify to, for any nonnegative real number s? O A. V OB. 1 O c. s O D. 2

Answer 1

Consider the property of exponents,

`(x^m)^n=x^(m\cdot n)`

The expression is given as,

`(\sqrt[]{s})^2`

The square root operation is nothing but an exponent 1/2.

`\sqrt[]{x}=x^{(1)/(2)}`

Then the given expression can be resolved as,

`(\sqrt[]{s})^2=(s^{(1)/(2)})^2=(s)^{(1)/(2)\cdot2}=s^1=s^{}`

Thus, the given expression can be written as,

`(\sqrt[]{s})^2=s`

Therefore, option C is the correct choice.