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Using prime factorisation, what is the positive square root of $1764$?

A38
B42
C44
D46
Answer & Solution
Correct answer: B. 42
Prime factorise: $1764=2^2\times 3^2\times 7^2=(2\times3\times7)^2$. Therefore $\sqrt{1764}=2\times3\times7=42$. Option A is the square root of 1444, not 1764.
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