find the square root of 256/841 by division method
Answers
Given : 256/841
To Find : square root by division method
Solution:
256 = 2 * 128
=> 256 = 2 * 2 * 64
=> 256 = 2 * 2 * 2 * 32
=> 256 = 2 * 2 * 2 * 2 * 16
=> 256 = 2 * 2 * 2 * 2 * 2 * 8
=> 256 = 2 * 2 * 2 * 2 * 2 * 2 * 4
=> 256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
=> 256 = 2 ² * 2² * 2² * 2²
=> 256 = 16²
=> √256 = 16
29
841
2 4
_____
441
29 441
_____
0
1 6
256
1 1
_____
156
26 156
_____
0
√841 = 29
√(256/841) = 16/29
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Answer:
Given : 256/841
To Find : square root by division method
Solution:
256 = 2 * 128
=> 256 = 2 * 2 * 64
=> 256 = 2 * 2 * 2 * 32
=> 256 = 2 * 2 * 2 * 2 * 16
=> 256 = 2 * 2 * 2 * 2 * 2 * 8
=> 256 = 2 * 2 * 2 * 2 * 2 * 2 * 4
=> 256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
=> 256 = 2 ² * 2² * 2² * 2²
=> 256 = 16²
=> √256 = 16
29
841
2 4
_____
441
29 441
_____
0
1 6
256
1 1
_____
156
26 156
_____
0
√841 = 29
√(256/841) = 16/29
Step-by-step explanation: