Question
Find the square root of $4096$ by the Prime Factorisation Method.
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Answer
$4096$
The prime factorisation of $4096$ is
$4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
By pairing the prime factors, we get
$4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
So, $\sqrt {4096} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$
The prime factorisation of $4096$ is
$4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
By pairing the prime factors, we get
$4096 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
So, $\sqrt {4096} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$
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