Important Questions on Square and Square Roots for Class 8

Important Questions on Square and Square Roots for Class 8 are available in this Maths article. Important Questions on Square and Square Roots for Class 8 are very useful to solve the problems easily. This article helps the students to know the key questions and answers about Square and Square Roots. Square and square roots show how to find a number that multiplied by itself gives the original number.

Squares and square roots are important concepts in Class 8 Mathematics. A square of a number is obtained by multiplying the number by itself, while a square root is the number that gives the original number when multiplied by itself.

For example:

82 = 64

Here, 64 is the square of 8.

√64 = 8

Here, 8 is the square root of 64.

Understanding squares and square roots helps students solve problems related to algebra, geometry, measurements, and higher mathematics.

Our subject experts have provided detailed solutions for these problems based on the old CBSE syllabus and the NCERT textbook. This material helps students revise the chapter easily and perform well in the final examination.


Read more: Important Questions on Cubes and Cube Roots

Solved Problems on Square and Square Roots for Class 8

1: Find the square of 12.

Answer:

122 = 12 × 12

= 144

So, the square of 12 is 144.

2: Find the square of 25.

Answer:

252 = 25 × 25

= 625

So, the square of 25 is 625.

3: Find the square root of 81.

Answer:

√81 = 9

Because:

9 × 9 = 81

4: Find the square root of 169.

Answer: 

√169 = 13

Because:

13 × 13 = 169

5: Find the square of 35.

Answer:

352 = 35 × 35

= 1225

So, the square of 35 is 1225.

6: Find the square root of 225.

Answer:

√225 = 15

Because:

15 × 15 = 225

7: Find the square of 48.

Answer:

482 = 48 × 48

= 2304

So, the square of 48 is 2304.

8: Find the square root of 400.

Answer:

√400 = 20

Because:

20 × 20 = 400

9: Find the square root of 1024.

Answer:

√1024 = 32

Because:

32 × 32 = 1024

10: Find the square of 56.

Answer

562 = 56 × 56

= 3136

So, the square of 56 is 3136.

Practice Questions on Square and Square Roots for Class 8

  1. Find the square of 14.
  2. Find the square of 32.
  3. Find the square root of 144.
  4. Find the square root of 196.
  5. Find the square of 41.
  6. Find the square root of 625.
  7. Find the square of 65.
  8. Find the square root of 784.
  9. Find the square root of 1225.
  10. Find the square of 72.

Frequently Asked Questions on Square and Square Roots

1. What is a square number?

A square number is the product of a number multiplied by itself.
Example: 52=5×5=25

2. What is a square root?

A square root of a number is a value that, when multiplied by itself, gives the original number.
Example: 25=5

3. What is the symbol of square root?

The symbol used for square root is:
  x

4. How do you find the square root of a perfect square?

Find the number that multiplies by itself to give the perfect square.

5. Can negative numbers have square roots?

Negative numbers do not have real square roots.

6. What is the square root of 144?

144=12

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