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Imaginary numberssimplify √-24

User Theprole
by
6.5k points

1 Answer

3 votes

Answer:


\sqrt[]{-24}=2i\sqrt[]{6}

Step-by-step explanation:

The square roots of negative numbers do not exist on the real line. They are called imaginary numbers. In these numbers there is a definition that help deal with cases with square roots of negative numbers.


\sqrt[]{-1}=i

With the above, it is easier to denote answers to the square root of negative numbers.

Given:


\sqrt[]{-24}=\sqrt[]{-1*24}

We can write this as


\begin{gathered} \sqrt[]{-1}*\sqrt[]{4*6} \\ \\ =\sqrt[]{-1}*\sqrt[]{4}*\sqrt[]{6} \\ \\ =i*2*\sqrt[]{6} \\ \\ =2i\sqrt[]{6} \end{gathered}

User Ajmnz
by
6.6k points
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