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38 votes
Simplify (sqrt)98m^12Using factor tree. Please draw. Quick answer = amazing review. Not a graded or timed assessment

User Jake Johnson
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1 Answer

14 votes
14 votes

We can directly remove m^12 from the square root, and stay only with 98 inside the square root


\sqrt[]{98m^(12)}=m^{(12)/(2)}\sqrt[]{98}=m^6\sqrt[]{98}

Therefore


\sqrt[]{98m^(12)}=m^6\sqrt[]{98}

Now we can just factor 98 inside the square root:

Then


98=2\cdot7^2

We can put it inside the square root


\begin{gathered} m^6\, \sqrt[]{98}=m^6\, \sqrt[]{2\cdot7^2} \\ \\ \end{gathered}

Now we can simplify the square with the square root


m^6\, \sqrt[]{2\cdot7^2}=7m^6\, \sqrt[]{2}

That's the final result


\sqrt[]{98m^(12)}=7m^6\, \sqrt[]{2}

Simplify (sqrt)98m^12Using factor tree. Please draw. Quick answer = amazing review-example-1
Simplify (sqrt)98m^12Using factor tree. Please draw. Quick answer = amazing review-example-2
User Harea Costicla
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