Question

3136 - 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 3136 are: 2*2*2*2*2*2*7*7

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

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

Therefore, the squareroot of 1764 = (2 * 2 * 2 * 7) = 56. (Ans)

Answer 2

Solution :

Resolving 3136 into product of

prime , we get

2 | 3136
_______
2 | 1568
_______
2 | 784
_______
2 | 392
_______
2 | 196
_______
2 | 98
_______
7 | 49
_______
*****7

Now ,

√3136

= √(2×2)(2×2)(2×2)(3×3)

= 2 × 2 × 2 × 3

= 24

Therefore ,

√3136 = 24

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