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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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