Question

find the square root of 8281 by prime factorization method

Answer 1

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Answer 2

Hi there!
Here's the answer :


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Using Prime Factorisation Method :

...7 | 8281
...7 | 1183
.13 | 169
...• | 13

Resolve the Number into Product of prime factors
8281 = 7 × 7 × 13 × 13

Express the prime factors in Exponential Form
8281 = 7² × 13²

Now,
√8281 = 7 × 13

√ 8281 = 91


•°• Required Value = 91




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Hope it helps