Question

9216 - Find the square root of the given number by prime factorisation method.

Answer 1

Hello


Here is your answer !


Prime Factor

9,216 ÷2 = 4,608

4,608 ÷ 2 = 2,304 

2,304 ÷ 2 = 1,152 

1,152 ÷ 2 = 576 

576 ÷ 2 = 288 

288 ÷ 2 = 144 

144 ÷ 2 = 72

72 ÷ 2 = 36 

36 ÷ 2 = 18 

18 ÷ 2 = 9 

9 ÷ 3 = 3 

3 ÷ 3 = 3

Hence

Prime factor = 2 × 2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 × 3 ×3


Square root = 2 × 2 ×2 ×2 ×2 ×3 = 96


Hope it helps u ! :)

Answer 2

Solution :

Resolve the given number 9216

into product of prime numbers.

9216 = 2×2×2×2×2×2×2×2×2×2×3×3

Now ,

√9216

= √(2×2)(2×2)(2×2)(2×2)(2×2)(3×3)

= 2×2×2×2×2×3

= 96

Therefore ,

√9216 = 96

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