Question

multiply then simplify.

(assume all variables are nonnegative)

\\(\sqrt{5}(3-\sqrt{5})\\)

Explanation:

Apply the distributive property

$$ \sqrt{5}(3 - \sqrt{5}) = \sqrt{5} \cdot 3 - \sqrt{5} \cdot \sqrt{5} $$

Simplify the terms

$$ 3\sqrt{5} - 5 $$

Answer:

Multiply then simplify.

(Assume all variables are nonnegative)

\(\sqrt{5}(3-\sqrt{5})\) = <blank>\(3\sqrt{5}-5\)</blank>