Given that: $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236\mathrm{and}\sqrt{7}=2.646,$ evaluate each of the following:

(i) $\sqrt{\frac{144}{7}}$
(ii) $\sqrt{\frac{2500}{3}}$

Q. Given that: $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236\mathrm{and}\sqrt{7}=2.646,$ find the square roots of the following:
(i) $\frac{196}{75}$
(ii) $\frac{400}{63}$
(iii) $\frac{150}{7}$
(iv) $\frac{256}{5}$
(v) $\frac{25}{50}$

Q. It being given that $\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236\mathrm{and}\sqrt{10}=3.162$, find the value of three places of decimals, of each of the following.
(i) $\frac{2}{\sqrt{5}}$

(ii) $\frac{{\displaystyle 2-\sqrt{3}}}{{\displaystyle \sqrt{3}}}$

(iii) $\frac{\sqrt{10}-\sqrt{5}}{\sqrt{2}}$

Q. Find the value to three places of decimals of each of the following. It is given that
$\sqrt{2}=1.414,\sqrt{3}=1.732,\sqrt{5}=2.236$ and $\sqrt{10}=3.162$.

(i) $\frac{2}{\sqrt{3}}$

(ii) $\frac{3}{\sqrt{10}}$

(iii) $\frac{\sqrt{5}+1}{\sqrt{2}}$

(iv) $\frac{\sqrt{10}+\sqrt{15}}{\sqrt{2}}$

(v) $\frac{2+\sqrt{3}}{3}$

(vi) $\frac{\sqrt{2}-1}{\sqrt{5}}$

Q.

Evaluate $\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}$, it us given that $\sqrt{5}=2.236$ and $\sqrt{10}=3.162$

Q. Evaluate $\frac{15}{\sqrt{10}+\sqrt{20}+\sqrt{40}-\sqrt{5}-\sqrt{80}}$ , it being given that $\sqrt{5}=2.236$ and $\sqrt{10}=3.162$