Question

simplify the radical expression.

\\(\sqrt{45}\\)

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

a. \\(\sqrt{45} = \\)
(simplify your answer. type an exact answer, using radicals as needed.)

b. the expression cannot be simplified.

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Find the largest perfect square factor

$$ 45 = 9 \times 5 $$

Step 2: Apply the product property of radicals

$$ \sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} $$

Step 3: Simplify the square root of the perfect square

$$ \sqrt{9} \times \sqrt{5} = 3\sqrt{5} $$

Answer:

A. \(\sqrt{45} = 3\sqrt{5}\)