find the square root of the following(correct to 3 decimal places) 367 2/7
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Answer is √(367.2857.. = 19.164...
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Given : 367 2/7
To Find : Square root
Solution:
367 2/7
= (367 * 7 + 2 )/7
= (2571 / 7)
= 2571 * 7 / 7²
= 17997/ 7²
Taking Square root
= √17997 / 7
√17997 ≈ 134.1528
√17997 / 7 ≈ 134.1528 /7
≈ 19.1646
≈ 19.165
Square root of 367 2/7 upto 3 decimal places is 19.165
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