Find five rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$

State whether each of the following statements is true or false

$(-5)^{2}=-25$

Rationalise the denominator in each of the following and hence evaluate by taking $\sqrt{2}=1.414, \sqrt{3}=1.732$ and $\sqrt{5}=2.236,$ upto three places of decimal.

$\frac{\sqrt{10}-\sqrt{5}}{2}$

For each question, select the proper option from four options given, to make the statement true : (Final answer only)

$.............$ is a rational number between $7$ and $8 .$

Simplify the following:

$(\sqrt{3}-\sqrt{2})^{2}$

Find three rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$.