simplify.\n10\\sqrt{12}
simplify.\n10\\sqrt{12}
Answer
Explanation:
Step1: Simplify square - root of 12
Factor 12 as (4\times3), so (\sqrt{12}=\sqrt{4\times3}). According to the property (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}) ((a = 4), (b = 3)), we have (\sqrt{4\times3}=\sqrt{4}\cdot\sqrt{3}=2\sqrt{3}).
Step2: Multiply by 10
Since (\sqrt{12}=2\sqrt{3}), then (10\sqrt{12}=10\times2\sqrt{3}). (10\times2\sqrt{3}=20\sqrt{3})
Answer:
(20\sqrt{3})