Question
Find the square root of $9604$ by the Prime Factorisation Method.
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Answer
The prime factorisation of $9604$ is
$9604 = 2 \times 2 \times 7 \times 7 \times 7 \times 7$
By pairing the prime factors, we get
$9604 = 2 \times 2 \times 7 \times 7 \times 7 \times 7$
So, $\sqrt {9604} = 2 \times 7 \times 7 = 98$
$9604 = 2 \times 2 \times 7 \times 7 \times 7 \times 7$
By pairing the prime factors, we get
$9604 = 2 \times 2 \times 7 \times 7 \times 7 \times 7$
So, $\sqrt {9604} = 2 \times 7 \times 7 = 98$
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