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.6.4 Q.4

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square.

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

1. 402

2. 1989

3. 3250

4. 825

5. 4000

1. 402

We know that, if we subtract the remainder from the

number, we get a perfect square.

Here, we get remainder 2. Therefore 2 must be

subtracted from 402 to get a perfect square.

So, 402 – 2 = 400

Hence, the square root of 400 is 20.

2. 1989

We know that, if we subtract the remainder from the

number, we get a perfect square.

Here, we get remainder 53. Therefore 53 must be

subtracted from 1989 to get a perfect square.

So, 1989 – 53 = 1936

Hence, the square root of 1936 is 44.

3. 3250

We know that, if we subtract the remainder from the

number, we get a perfect square.

Here, we get remainder 1. Therefore 1 must be

subtracted from 3250 to get a perfect square.

So, 3250 – 1 = 3249

Hence, the square root of 3249 is 57.

4. 825

We know that, if we subtract the remainder from the

number, we get a perfect square.

Here, we get remainder 41. Therefore 41 must be

subtracted from 825 to get a perfect square.

So, 825 – 41 = 784

Hence, the square root of 784 is 28.

5. 4000

We know that, if we subtract the remainder from the

number, we get a perfect square.

Here, we get remainder 31. Therefore 31 must be

subtracted from 4000 to get a perfect square.

So, 4000 – 31 = 3969

Hence, the square root of 3969 is 63.

Video solution:

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

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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.