NCERT solution Class 8 squares and square roots

NCERT Solutions

Class 8 Maths

Squares and Square Roots

NCERT Questions

Ex.6.1 Q.1
Ex.6.1 Q.2
Ex.6.1 Q.3
Ex.6.1 Q.4
Ex.6.1 Q.5
Ex.6.1 Q.6
Ex.6.1 Q.7
Ex.6.1 Q.8
Ex.6.1 Q.9
Ex.6.2 Q.1
Ex.6.2 Q.2
Ex.6.3 Q.1
Ex.6.3 Q.2
Ex.6.3 Q.3
Ex.6.3 Q.4
Ex.6.3 Q.5
Ex.6.3 Q.6
Ex.6.3 Q.7
Ex.6.3 Q.8
Ex.6.3 Q.9
Ex.6.3 Q.10
Ex.6.4 Q.1
Ex.6.4 Q.2
Ex.6.4 Q.3
Ex.6.4 Q.4
Ex.6.4 Q.5
Ex.6.4 Q.6
Ex.6.4 Q.7
Ex.6.4 Q.8
Ex.6.4 Q.9

Ex.6.3 Q.5

For each of the following numbers, find the smallest whole number by which it should be

multiplied so as to get a perfect square number.

Also, find the square root of the square number so obtained:

1. 252

2. 180

3. 1008

4. 2028

5. 1458

6. 768

1. 252 = 2 × 2 × 3 × 3 × 7

Here, prime factor 7 has no pair. Therefore 252 must be multiplied

by 7 to make it a perfect square.

So, 252 × 7 = 1764

and √1764 = 2 × 3 × 7 = 42

2. 180 = 2 × 2 × 3 × 3 × 5

Here, prime factor 5 has no pair. Therefore 180 must be

multiplied by 5 to make it a perfect square.

So, 180 × 5 = 900

And √900 = 2 × 3 × 5 = 30

3. 1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7

Here, prime factor 7 has no pair. Therefore 1008 must be

multiplied by 7 to make it a perfect square.

So, 1008 × 7 = 7056

and √7056 = 2 × 2 × 3 × 7 = 84

4. 2028 = 2 × 2 × 3 × 13 × 13

Here, prime factor 3 has no pair. Therefore 2028 must be

multiplied by 3 to make it a perfect square.

So, 2028 × 3 = 6084

and 6084 = 2 × 2 × 3 × 3 × 13 × 13 = 78

5. 1458 = 2 × 3 × 3 × 3 × 3 × 3 × 3

Here, prime factor 2 has no pair. Therefore 1458 must be

multiplied by 2 to make it a perfect square.

So, 1458 × 2 = 2916

And √2916 = 2 × 3 × 3 × 3 = 54

6. 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3

Here, prime factor 3 has no pair. Therefore 768 must be

multiplied by 3 to make it a perfect square.

So, 768 × 3 = 2304

And 2304 = 2 × 2 × 2 × 2 × 3 = 48

Squares and Square Roots Class 8 Maths NCERT Chapter 6 NCERT Solutions

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Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 8 Maths Squares and Square Roots Online Test on LearnoHub.com.
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NCERT solutions of Squares and Square Roots Class 8 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 8 Maths Squares and Square Roots NCERT solutions.