8th Class Mathematics Squares and Square Roots Question Bank Squares and Square Roots

Find the square root of the following correct upto two decimal places. (i) \[4\frac{5}{7}\]                              (ii)\[9\frac{9}{13}\]

A)

(i) (ii)

2.52 3.18



B)

(i) (ii)

2.28 2.98



C)

(i) (ii)

2.17 3.11



D)

(i) (ii)

2.17 2.98

Correct Answer: C

Solution :

(i) We have, \[4\frac{5}{7}=\frac{33}{7}=4.7142\]

	2.17
2	\[\begin{align} & \,\,\,\overline{\text{4}}\text{.}\overline{\text{714}}\overline{\text{2}} \\ & \text{-}\,\,\text{4} \\ \end{align}\]
41	\[\begin{align} & \text{ 71} \\ & \text{- 41} \\ \end{align}\]
427	\[\begin{align} & \text{ 3042} \\ & \text{- 2989} \\ \end{align}\]
	53

\[\therefore \] Square root of \[4\frac{5}{7}=2.17\] (ii) We have, \[9\frac{9}{13}=\frac{126}{13}=9.6923\]

	3.11
3	\[\begin{align} & \text{ }\overline{9}.\overline{69}\overline{23} \\ & -9 \\ \end{align}\]
61	\[\begin{align} & \text{ }69 \\ & -\text{ }61 \\ \end{align}\]
621	\[\begin{align} & \text{ 823} \\ & -\text{ }621 \\ \end{align}\]

\[\therefore \] Square root of \[9\frac{9}{13}=3.11\]