## RS Aggarwal Class 8 Solutions Chapter 3 Squares and Square Roots Ex 3D

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3D.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3A
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3B
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3C
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3D
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3E
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3F
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3G
- RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3H

**Find the square root of each of the following numbers by using the method of prime factorization:**

**Question 1.**

**Solution:**

225 = 3 x 3 x 5 x 5

**Question 2.**

**Solution:**

441 = 3 x 3 x 7 x 7

**Question 3.**

**Solution:**

729 =

**Question 4.**

**Solution:**

1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

**Question 5.**

**Solution:**

2025 =

**Question 6.**

**Solution:**

4096 =

**Question 7.**

**Solution:**

7056 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

**Question 8.**

**Solution:**

8100 =

**Question 9.**

**Solution:**

9216 =

**Question 10.**

**Solution:**

11025 =

**Question 11.**

**Solution:**

15876 =

**Question 12.**

**Solution:**

17424 =

**Question 13.**

**Solution:**

Factorizing 252, we get :

252 = \(\overline { 2X2 } X\overline { 3X3 } X7\)

To make it is a perfect square it must by multiplied by 7.

Square root of 252 x 7 = 1764

= 2 x 3 x 7 = 42 Ans.

**Question 14.**

**Solution:**

Factorizing 2925, we get :

2925 = \(\overline { 3X3 } X\overline { 5X5 } X13\)

To make it a perfect square it must be divided by 13.

2925 ÷ 13 = 225

Square root of 225 = 3 x 5 = 15 Ans.

**Question 15.**

**Solution:**

Let no. of rows = x

Then the number of plants in each row = x

Hence no. of rows = 35

and no. of plants in each row = 35

**Question 16.**

**Solution:**

Let no. of students in the class = x

Then contribution of each student = x

No. of students of the class = 34 Ans.

**Question 17.**

**Solution:**

L.C.M. of 6, 9, 15 and 20

= 2 x 3 x 5 x 2 x 3 = 180

180 = \(\overline { 2X2 } X\overline { 3X3 } X5\)

To make it a perfect square, it must be multiplied by 5

Product = 180 x 5 = 900

Hence, the least square number = 900 Ans.

**Question 18.**

**Solution:**

L.C.M. of 8, 12, 15, 20 = 2 x 2 x 2 x 3 x 5= 120

120 = \(\overline { 2X2 }\)X2X3X5

To make it a perfect square it must be multiplied by 2 x 3 x 5 = 30

Then least perfect square = 120 x 30 = 3600

Hope given RS Aggarwal Solutions Class 8 Chapter 3 Squares and Square Roots Ex 3D are helpful to complete your math homework.

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