# Find the square root of each of the following numbers by Division method.

(i) 2304 (ii) 4489 (iii) 3481 (iv) 529 (v) 3249 (vi) 1369 (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900

**Solution:**

What is known: Perfect Squares

What is unknown: Square root by using the division method.

Reasoning: When a number is large, even the method of trading the square root by prime factorization becomes lengthy and difficult, so the division method is used.

Steps:

(i)

The square root of 2304 is calculated as follows.

Since the remainder is zero, we can conclude that

√2304 = 48

(ii)

√4489 = 67

(iii)

√3481 = 59

(iv)

√529 = 23

(v)

√3249 = 57

(vi)

Therefore,

√1369 = 37

(vii)

Therefore,

√5776 = 76

(viii)

√7921 = 89

(ix)

√576 = 24

(x)

√1024 = 32

(xi)

√3136 = 56

(xii)

√900 = 30

**Video Solution:**

## Find the square root of each of the following numbers by Division method. (i) 2304 (ii) 4489 (iii) 3481 (iv) 529 (v) 3249 (vi) 1369 (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900

### NCERT Solutions for Class 8 Maths - Chapter 6 Exercise 6.4 Question 1

Find the square root of each of the following numbers by Division method. (i) 2304 (ii) 4489 (iii) 3481 (iv) 529 (v) 3249 (vi) 1369 (vii) 5776 (viii) 7921 (ix) 576 (x) 1024 (xi) 3136 (xii) 900

Square roots of the following numbers using prime factorisation method (i) 48 (ii) 67 (iii) 59 (iv) 23 (v) 57 (vi) 37 (vii) 76 (viii) 89 (ix) 24 (x) 32 (xi) 56 (xii) 30