6 √(72)Simplify in simplest form:

Question

`6 √(72)`Simplify in simplest form:

Answer 1

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}`