Question
Find the square root of $8100$ by the Prime Factorisation Method.
✓
Answer
The prime factorisation of $8100$ is
$8100 = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5 $
By pairing the prime factors, we get
$8100 = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5$
So, $\sqrt {8100} = 2 \times 3 \times 3 \times 5 = 90.$
$8100 = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5 $
By pairing the prime factors, we get
$8100 = 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5$
So, $\sqrt {8100} = 2 \times 3 \times 3 \times 5 = 90.$
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