Question

Find the square root of the following numbers by factorisation:
1)196
2)256
3)10404
4)1156
5)19225

Answer 1

$2 \: |196 \\ 2\: |98 \\ 7\: |49 \\ 7 \: |1 \\ \: thus \: square \: root \: of \: 196 \: is \: \\ \: 196 = \sqrt{2 \times 2 \times 2 \times 7 \times 7 } \\ \: \: \: \: \: \: \: \: \: = 2 \times 7 \\ \: \: \: \: \: \: \: \: \: = 14$
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Answer 2

Hope this helps you

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