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

Sagot :

You have the following expression;

[tex]\sqrt[]{\frac{3}{6}}[/tex]

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

[tex]\sqrt[]{\frac{3}{6}}=\sqrt[]{\frac{1}{2}}[/tex]

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

[tex]\sqrt[]{\frac{1}{2}}=\frac{\sqrt[]{1}}{\sqrt[]{2}}=\frac{1}{\sqrt[]{2}}[/tex]

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

[tex]\frac{1}{\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}}=\frac{\sqrt[]{2}}{2}[/tex]

Hence, the result is:

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

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