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Simplify the following expression: square root of -36 + square root of -100 +7
4 months ago
Q:
Simplify the following expression: square root of -36 + square root of -100 +7
Accepted Solution
A:
Answer:[tex]\large\boxed{\sqrt{-36}+\sqrt{-100}+7=7+16i}[/tex]Step-by-step explanation:[tex]\sqrt{-1}=i\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\=====================\\\\\sqrt{-36}=\sqrt{(36)(-1)}=\sqrt{36}\cdot\sqrT{-1}=6i\\\sqrt{-100}=\sqrt{(100)(-1)}=\sqrt{100}\cdot\sqrt{-1}=10i\\\\\sqrt{-36}+\sqrt{-100}+7=6i+10i+7=7+16i[/tex]