# Find two irrational number between 3/4 and 4/5.

$\begin{array}{l}\text{Given,}\\ \frac{3}{4},\ a_1,\ a_2,\ \frac{4}{5}\\ \text{For finding irrational,}\\ \left(\frac{3}{4}\right)^2,\ a_1^2,\ a_2^2,\ \left(\frac{4}{5}\right)^2\\ \text{making both denominators same}\\ \frac{225}{400},\ a_1^2,\ a_2^2,\ \frac{256}{400}\\ \text{So, we take}\ a_1,\ a_2\\ a_1^2=\frac{229}{400}\Rightarrow a_1=\sqrt{\frac{229}{400}}\ \&\ a_2^2=\frac{231}{400}\Rightarrow a_2=\sqrt{\frac{231}{400}}\\ a_1,\ a_2\ \text{are two irrational bwteen given numbers.}\end{array}$

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