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

Option A is correct.

Explanation:

Given:
`√(9)=9^{(1)/(2)}`

To find: True Statement for
`(9^{(1)/(2)})^2`

We use the following Law of Exponent,

`x^a* x^b=x^(a+b)`

Consider,

`(9^{(1)/(2)})^2`

`=9^{(1)/(2)}*9^{(1)/(2)}`

Using Law of Exponent,

`=9^{((1)/(2)+(1)/(2))}`

`=9^{(1+1)/(2)}`

`=9^{(2)/(2)}`

`=9^(1)`

`=9`

Therefore, Option A is correct.