S.chand Class 8 Maths Solution Chapter 3 Squares and Square roots Exercise 3B

 Exercise 3B

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Q1 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 1

Find by prime factorization the square root of the following numbers :

(i) 2916

(ii) 2704

(iii) 7056

(iv) 9025

(v) 9216

Sol :

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Question 2

Find the square root of the following fractions :

(i) $\frac{25}{49}$

(ii) $\frac{196}{484}$

(iii) $\frac{1225}{2025}$

(iv) $0.0009$

(v) $0.00000049$

Sol :

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Question 3

Simplify :

(i) $\sqrt{\left(5^{2}-4^{2}\right)}$

(ii) $\sqrt{\left(5^{2}+12^{2}\right)}$

(iii) $\left(\frac{1}{2}\right)^{2}+\sqrt{0.25}$

(iv) $\left(-\sqrt{\frac{4}{9}}\right)\left(-\sqrt{\frac{81}{100}}\right)$

Sol :

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Question 4

Find the square root of each of the following numbers by long division :

(i) 6724

(ii) 7921

(iii) 8649

(iv) 9801

(v) 15129

Sol :

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Question 5 

Find the square root of each of the following decimal numbers by long division :

(i) $4556.25$

(ii) $6099.61$

(iii) $7903.21$

(iv) $9273.69$

Sol :

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Question 6

Evaluate :

(i) $\sqrt{\frac{2809}{4096}}$

(ii) $\sqrt{\frac{1849}{5776}}$

(iii) $\sqrt{1 \frac{869}{1156}}$

Sol :

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Question 7

Find the value of $\sqrt{9216}$ and from this value calculate $\sqrt{92.16}+9.216$.

Sol :

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Q8 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 8

Find the square roots of 2116 and 1764 and hence find the value of $\frac{\sqrt{0.2116}+\sqrt{0.1764}}{\sqrt{0.2116}-\sqrt{0.1764}}$.

Sol :

Multiple Choice Questions (MCQs)

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Q9 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 9

The value of $\frac{3}{\sqrt{0.09}}$ is :

(a) $\frac{1}{10}$

(b) $\frac{3}{10}$

(c) 1

(d) 10

Sol :

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Question 10

Of the numbers $0.16, \sqrt{0.16},(0.16)^{2}$ and $0.016$ the least number is

(a) $(0.16)^{2}$

(b) $\sqrt{0.16}$

(c) $0.016$

(d) $0.16$

Sol :

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Question 11

$\sqrt{0.0025} \times \sqrt{2.25} \times \sqrt{0.0001}$ equals

(a) $0.000075$

(b) $0.0075$

(c) $0.075$

(d) $0.00075$

Sol :

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Question 12

The square root of $\sqrt{2 \frac{1337}{3844}}$ is

(a) $2 \frac{35}{64}$

(b) $1 \frac{33}{62}$

(c) $1 \frac{17}{62}$

(d) $2 \frac{23}{62}$

Sol :

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Question 13

$\frac{\sqrt{59.29}-\sqrt{5.29}}{\sqrt{59.29}+\sqrt{5.29}}$ equals

(a) 1

(b) 0.65

(c) 0.45

(d) 0.54

Sol :

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Question 14

3600 soldiers are asked to stand in different rows. Every row has as many soldiers as there are rows. Find the number of rows.

Sol :

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Question 15

Find the perimeter of a square whose area is $6889 \mathrm{~m}^{2}$.

Sol :

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Question 16

A society collected ₹ 8836, each member contributing as many rupees as there were members. Find the number of members of the society.

Sol :

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Question 17

In a basket there are 1250 flowers. A man goes for worship and puts as many flowers as there are temples in the city. Thus he needs 8 baskets of flowers. Find the number of temples in the city.

Sol :

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Question 18

What should be subtracted from 6249 to get a perfect square number? What is this perfect square number? Also, find its square root.

Sol :

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Q19 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 19

What least number must be added to 594 to make the sum a perfect square ?

Sol :

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Q20 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 20

What would be added to 7912 to make the sum a perfect square ?

Sol :

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Q21 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 21

Find the least number of six digits which is a perfect square.

Sol :

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Question 22

A General arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8341 , find the number of soldiers in each row.

Sol :

High Order Thinking Skills (HOTS)

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Q23 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 23

Find $: \sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}$

Sol :

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Q24 | Ex-3B | Class 8 | SChand Composite maths | Squares and Square roots | Chapter 3 | myhelper

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Question 24

Find the value of $\sqrt{1191.16+70 \sqrt{129.96}}$.

Sol :