Question

9604 - Find the square root of the given number by prime factorisation method.

Answer 1

Hello!

$\boxed{\sf 9604}$

⇒ $\underline{\sf 2\: x\: 2}$ x $\underline{\sf 7 \:x\: 7}$ x $\underline{\sf 7\: x\: 7}$

⇒ 2 × 7 × 7 ⇒ $\boxed{\sf 98}$

Cheers!

Answer 2

Solution :

Resolve given number 9604 into

product of prime numbers.

9604 = 2×2×7×7×7×7

Now ,

√9604 = √(2×2)×(7×7)×(7×7)

= 2 × 7 × 7

= 98

Therefore ,

√9604 = 98

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