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

Question 25 of 41 Which of the following does tex sqrts 2 texsimplify to for any nonnegative real number s O A V OB 1 O c s O D 2 class=

Respuesta :

Consider the property of exponents,

[tex](x^m)^n=x^{m\cdot n}[/tex]

The expression is given as,

[tex](\sqrt[]{s})^2[/tex]

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

[tex]\sqrt[]{x}=x^{\frac{1}{2}}[/tex]

Then the given expression can be resolved as,

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

Thus, the given expression can be written as,

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

Therefore, option C is the correct choice.