Question
Find the square root of $1764$ by the Prime Factorisation Method.
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Answer
$1764$
The prime factorisation of $1764$ is
$1764 = 2 \times 2 \times 3 \times 3 \times 7 \times 7$
By pairing the prime factors, we get
$1764 = 2 \times 2 \times 3 \times 3 \times 7 \times 7$
So, $\sqrt {1764} = 2 \times 3 \times 7= 42$
The prime factorisation of $1764$ is
$1764 = 2 \times 2 \times 3 \times 3 \times 7 \times 7$
By pairing the prime factors, we get
$1764 = 2 \times 2 \times 3 \times 3 \times 7 \times 7$
So, $\sqrt {1764} = 2 \times 3 \times 7= 42$
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