Question

Find the square root of 1764 by factorisation method
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Answer 1

42

Explanation:

prime factorisation of 1764 = 2^2 × 3^2 × 7^2

hence,

√1764 = √(2^2 × 3^2 × 7^2) =2 x 3 x 7 = 42

Answer 2

42

Explanation:

1764 = 2 * 882

= 2 * 2 * 441

= 2 * 2 * 3 * 147

= 2 * 2 * 3 * 3 * 49

= 2 * 2 * 3 * 3 * 7 * 7

`√(1764) = √(2*2*3*3*7*7) = 2*3*7 = 42`