Question

1764 - Find the square root by the method of indivisible factors.

Answer 1

Acc to the question, we have to find the square root of 1764 by the method of indivisible factors.

The factors of 1764 are: 2*2*3*3*7*7

Now in order to find the square root we have to form pairs of the factors as shown below:

1764 = (2 * 3 * 7) * (2 * 3 * 7)

Therefore, the squareroot of 1764 = (2 * 3 * 7) = 42. (Ans)

Answer 2

Solution :

Resolving 1764 into product of prime,

we get

2 | 1764
_______
2 | 882
______
3 | 441
______
3 | 147
______
7 | 49
______
*****7

1764 = 2 × 2 × 3 × 3 × 7 × 7

= ( 2 × 2 ) × ( 3 × 3 ) × ( 7 × 7 )

Now ,

Square root of 1764

= √1764

= √(2×2)×(3×3)×(7×7)

= 2 × 3 × 7

= 42

Therefore ,

√1764 = 42

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