Question

Find the square root of the 7744 by prime factorisation ?

Answer 1

first we find out the factors by prime factorisation method

prime factors of 7744= 2×2×2×2×2×2×11×11.

√7744= 2×2×2×11.

√7744=88.

Answer 2

Answer:–

7744 = 2×2×2×2×2×2×11×11×1

⇒ 7744 = (2×2)×(2×2)×(2×2)×(11×11)

⇒ 7744 = (2×2×2×11)×(2×2×2×11)

⇒ 7744 = (2×2×2×11)2

⇒ √7744 = 2×2×2×11 = 88