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39 votes
39 votes

6 √(72)Simplify in simplest form:

User BigBadMe
by
2.4k points

1 Answer

22 votes
22 votes

we have:


\frac{6}{\sqrt[]{72}}

first, we can multiply and divide by sqrt{72} (to get the sqrt of the denominator)


\frac{6}{\sqrt[]{72}}\cdot\frac{\sqrt[]{72}}{\sqrt[]{72}}=\frac{6\sqrt[]{72}}{(\sqrt[]{72)^2^{}}}=\frac{6\cdot\sqrt[]{72}}{72}

now we can simplify sqrt{72} writing 72 as 2*36


\frac{6\cdot\sqrt[]{36\cdot2}}{72}=\frac{6\cdot\sqrt[]{36}\cdot\sqrt[]{2}}{72}=\frac{6\cdot6\cdot\sqrt[]{2}}{72}=\frac{\sqrt[]{2}}{2}

So the answer is:


\frac{\sqrt[]{2}}{2}

User Joey Chong
by
2.9k points
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