Question 11 Mark

Retionalise the denominator of each of the following:
$\frac{3}{\sqrt5}$

Answer

We know that rationalization factor for $\frac{1}{\sqrt{\text{a}}}$ is $\sqrt{\text{a}}.$ we will multiply numerator and denominator of the given expression $\frac{3}{\sqrt5}$ by $\sqrt5,$ to get
$\frac{3}{\sqrt5}\times\frac{\sqrt5}{\sqrt5}=\frac{3\sqrt5}{\sqrt5\times\sqrt5}$
$=\frac{3\sqrt5}{5}$
Hence the given expression is simplified to $\frac{3\sqrt5}{5}.$

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