Question
Find the square root of $9216$ by the Prime Factorisation Method.
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Answer
The prime factorisation of $9216$ is
$9216 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
By pairing the prime factors, we get
$9216 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
So, $\sqrt {9216} = 2 \times 2 \times 2 \times 2 \times 2 \times 3$
$9216 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
By pairing the prime factors, we get
$9216 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
So, $\sqrt {9216} = 2 \times 2 \times 2 \times 2 \times 2 \times 3$
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