Find the square root of 1764 by the prime factorisation method.

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Solution

$\sqrt{1764} = \sqrt{2 \times 2 \times 3 \times 3 \times 7 \times 7}$
$∴ \sqrt{1764} = 2 \times 3 \times 7$
$= 42$

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Find the square root of 1764 by the prime factorisation method.

√1764=√2×2×3×3×7×7∴√1764=2×3×7=42

$\sqrt{1764} = \sqrt{2 \times 2 \times 3 \times 3 \times 7 \times 7}$
$∴ \sqrt{1764} = 2 \times 3 \times 7$
$= 42$