Question
Find the square root of $729$ by the Prime Factorisation Method.
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Answer
The prime factorisation of $729$ is
$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$
By pairing the prime factors, we get
$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$
So, $\sqrt {729} = 3 \times 3 \times 3 = 27$
$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$
By pairing the prime factors, we get
$729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3$
So, $\sqrt {729} = 3 \times 3 \times 3 = 27$
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