Question

Find the square root of 9801 by prime factorisation

Answer 1

I hope it will help you

Answer 2

The square root of 9801 is 99

Step-by-step explanation:

We are supposed to find the square root of 9801 by prime factorization

So,

3 | 9801

3 | 3267

3 | 1089

3 | 363

11 | 121

11 |  11

  |  1

$9801=3 \times 3 \times 3 \times 3 \times 11 \times 11 \\\sqrt{9801}=\sqrt{3 \times 3 \times 3 \times 3 \times 11 \times 11} \\\sqrt{9801}=3  \times 3 \times 11 \\\sqrt{9801}=99$

Hence the square root of 9801 is 99

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