Question

question 2 of 5

select the correct answer.

what is this expression in simplified form?
\\(\sqrt{32} \cdot 5\sqrt{2}\\)

\\(\bigcirc\\) 40
\\(\bigcirc\\) \\(5\sqrt{34}\\)
\\(\bigcirc\\) 12
\\(\bigcirc\\) 8

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Simplify the first radical

$$ \sqrt{32} = \sqrt{16 \cdot 2} = 4\sqrt{2} $$

Step 2: Multiply the terms

$$ (4\sqrt{2}) \cdot (5\sqrt{2}) = (4 \cdot 5) \cdot (\sqrt{2} \cdot \sqrt{2}) $$

Step 3: Calculate the final value

$$ 20 \cdot 2 = 40 $$

Answer:

40