Is 90 a perfect square? [3 MARKS]

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Solution

Prime Factorisation : 2 Marks
Conclusion : 1 Mark

$\begin{matrix} 2 & 90 3 & 45 3 & 15 5 \end{matrix}$

$90 = 2 \times 3 \times 3 \times 5$

The prime factors 2 and 5 do not occur in pairs.

Therefore, 90 is not a perfect square.

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