Find the square root of a number $5929$ by Prime Factorisation Method.

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Solution

By method of prime factorisation:
$5929 = 11 \times 11 \times 7 \times 7 = 11^{2} \times 7^{2}$
Taking square root on both sides, we get
$\sqrt{5929} = \sqrt{11^{2} \times 7^{2}} = 11 \times 7 = 77$

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Find the square root of a number 5929 by Prime Factorisation Method.

By method of prime factorisation:5929=11×11×7×7=112×72 Taking square root on both sides, we get√5929=√112×72=11×7=77

Find the square root of a number $5929$ by Prime Factorisation Method.

By method of prime factorisation:
$5929 = 11 \times 11 \times 7 \times 7 = 11^{2} \times 7^{2}$
Taking square root on both sides, we get
$\sqrt{5929} = \sqrt{11^{2} \times 7^{2}} = 11 \times 7 = 77$