Question

`\sqrt[3]{6}`how do I do this

Answer 1

You have the following expression;

`\sqrt[]{(3)/(6)}`

In order to simplify the previous expression you first simplify the fraction insde the root:

`\sqrt[]{(3)/(6)}=\sqrt[]{(1)/(2)}`

Next, you use the property that the square root of a fraction is equal to the quotient of the square roots:

`\sqrt[]{(1)/(2)}=\frac{\sqrt[]{1}}{\sqrt[]{2}}=\frac{1}{\sqrt[]{2}}`

Then, you multiply both numerator and denominator by √2:

`\frac{1}{\sqrt[]{2}}*\frac{\sqrt[]{2}}{\sqrt[]{2}}=\frac{\sqrt[]{2}}{2}`

Hence, the result is:

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