Question

Select the simplification that accurately explains the following statement. √9=9 1/2

Answer 1

All answers are the same, 9, but only the first choice follows a correct simplification.

Answer 2

Answer:

Option A is correct.

Step-by-step explanation:

Given: $\sqrt{9}=9^{\frac{1}{2}}$

To find: True Statement for $(9^{\frac{1}{2}})^2$

We use the following Law of Exponent,

$x^a\times x^b=x^{a+b}$

Consider,

$(9^{\frac{1}{2}})^2$

$=9^{\frac{1}{2}}\times9^{\frac{1}{2}}$

Using Law of Exponent,

$=9^{(\frac{1}{2}+\frac{1}{2})}$

$=9^{\frac{1+1}{2}}$

$=9^{\frac{2}{2}}$

$=9^{1}$

$=9$

Therefore, Option A is correct.