Question

multiply. for any answers with a square root, simplify and write your answer in the form sqrt(___) with no spaces.

(2sqrt{3} cdot (-5sqrt{5}))

Explanation:

⚡ Using what you learned: simplifying radical expressions

Step 1: Group coefficients and radicals

$$ 2\sqrt{3} \cdot (-5\sqrt{5}) = (2 \cdot -5) \cdot (\sqrt{3} \cdot \sqrt{5}) $$

Step 2: Multiply the terms

$$ 2 \cdot -5 = -10 $$

$$ \sqrt{3} \cdot \sqrt{5} = \sqrt{15} $$

$$ -10\sqrt{15} $$

Answer:

-10sqrt(15)