Tamil Nadu Board Solutions for Chapter: Real Numbers, Exercise 9: Exercise

Simplify $(7\sqrt{a}-5\sqrt{b})(7\sqrt{a}+5\sqrt{b})$ using multiplication and division properties of surds.

Simplify$\left[\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}}\right]÷\sqrt{\frac{16}{81}}$ using multiplication and division properties of surds.

If $\sqrt{2}=1.414, \sqrt{3}=1.732, \sqrt{5}=2.236, \sqrt{10}=3.162$, then find the value of$\sqrt{40}-\sqrt{20}$ correct to $2$ places of decimals.

If $\sqrt{2}=1.414, \sqrt{3}=1.732, \sqrt{5}=2.236, \sqrt{10}=3.162$, then find the value of $\sqrt{300}+\sqrt{90}-\sqrt{8}$ correct to $3$ places of decimals.

Without actual division, classify the decimal expansion of the following numbers as terminating or non-terminating and recurring.

$\frac{13}{64}$

Without actual division, classify the decimal expansion of the following numbers as terminating or non - terminating and recurring.

$\frac{-71}{125}$

Without actual division, classify the decimal expansion of the following numbers as terminating or non - terminating and recurring.

$\frac{43}{375}$

Without actual division, classify the decimal expansion of the following numbers as terminating or non - terminating and recurring.

$\frac{31}{400}$