Question
Find the square root of $7744$ by the Prime Factorisation Method.
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Answer
The prime factorisation of $7744$ is
$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$
By pairing the prime factors, we get
$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$
So, $\sqrt {7744} = 2 \times 2 \times 2 \times 11 = 88$
$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$
By pairing the prime factors, we get
$7744 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 11 \times 11$
So, $\sqrt {7744} = 2 \times 2 \times 2 \times 11 = 88$
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