Mahabir Singh Solutions for Chapter: Squares and Square Roots, Exercise 3: ACHIEVERS SECTION (HOTS)

Find the value of  $\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}+\left(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}}\right)÷\sqrt{\frac{16}{81}}$
 

Study the statements and choose the correct option.

Statement$-1$: The square root of certain decimals are obtained by first changing the decimals into fractions with perfect squares as their numerators and denominators.

Statement$-2$: $(26.1{)}^2$ lies between $400$ and $900$

Find the value of $P, Q, R$ and $S$.
$\left(\mathrm{i}\right)$ Square root of $1354.24$ is $\underline{ P }$
$\left(\mathrm{ii}\right)$ Square root of $151.29$ is $\underline{ Q }$
$\left(\mathrm{iii}\right)$ Square root of $7208.01$ is $\underline{ R }$
$\left(\mathrm{iv}\right)$ Square root of $1789.29$ is $\underline{ \mathrm{S} }$