3136 - Find the square root by the method of indivisible factors.
Answers
Answered by
32
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)
Answered by
64
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
••••
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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