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1 vote
5√-32 simplify
help!​

User Andorbal
by
8.3k points

1 Answer

3 votes

Answer:

-2

Explanation:


\sqrt[n]{a}=b\iff b^n=a\\\\\sqrt[n]{a^n}=a\\\\\sqrt[5]{-a}=-\sqrt[5]{a}\\\\========================\\\\\sqrt[5]{-32}=\sqrt[5]{-2^5}=-\sqrt[5]{2^5}=-2


\text{If is}\ 5√(-32),\ \text{then:}\\\\5√(-32)=5√((16)(2)(-1))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=5\cdot√(16)\cdot\sqrt2\cdot√(-1)\qquad\text{use}\ i=√(-1)\\\\=5\cdot4\cdot\sqrt2\cdot i=20\sqrt2\ i

User MarcWan
by
7.7k points

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