Question

evaluate the expression, if possible.

(9^{1/2})

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. (9^{1/2} = \\)

b. the solution is not a real number.

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Convert rational exponent to radical form

A rational exponent of \( \frac{1}{2} \) represents a square root:

$$ a^{\frac{1}{2}} = \sqrt{a} $$

Applying this to the given expression:

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

Step 2: Evaluate the square root

Find the positive number that, when multiplied by itself, equals \( 9 \):

$$ \sqrt{9} = 3 $$

Answer:

A. \( 9^{1/2} = 3 \)