Question 11 Mark
Retionalise the denominator of each of the following: $\frac{3}{\sqrt5}$
Answer
View full question & 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 $\frac{3\sqrt5}{5}.$