Question

Given that the prime factorisation of 9801 is 34 x 112, find 9801 without using a calculator. how to solve for class 6
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Answer 1

Answer:

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

\begin{gathered}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\end{gathered}

9801=3×3×3×3×11×11

9801

=

3×3×3×3×11×11

9801

=3 ×3×11

9801

=99

Hence the square root of 9801 is 99