Question

Using prime factorisation find the square root of 7744

Answer 1

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$using \: prime \: factorisation \\ \: method$

$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$

$7744 = {2}^{2} \times {2}^{2} \times {2}^{2} \times {11}^{2}$

$taking \: square \: root \: we \: have$

$\sqrt{7744} = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times {11}^{2} }$

$= 2 \times 2 \times 2 \times 11$

$= 88$