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Which of the following is equivalent to the expression below
√( - 169)

Which of the following is equivalent to the expression below √( - 169)-example-1

1 Answer

4 votes

The given expression can be rewritten as


\sqrt[]{-169}=\sqrt[]{-1*13*13}

which is equivalent to


\sqrt[]{-169}=\sqrt[]{-1}*\sqrt[]{13^2}

By the definition of imaginary number


\sqrt[]{-1}=i

and


\sqrt[]{13^2}=13

the answer is:


\sqrt[]{-169}=13i

which corresponds to option C

User Steely Wing
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