find the square root of 367 ,2/7 correct to three places of decimal.
Answers
Given : 367 2/7
To find : Square root correct to three places of decimal.
Solution:
367 2/7
= 2571/7
= 2571 * 7 / 7 * 7
= 17,997 / 7²
134.152
17,997
1 1
_____
079
23 69
_____
1097
264 1056
______
4100
2681 2681
______
141900
26825 134125
_______
777500
268302 536604
________
24089600
2683048 21464384
________
√ (17,997 / 7²)
= 134.1528 /7
= 19.1646
= 19.165
square root of 367 2/7 = 19.165
√ 367 2/7 = 19.165
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Answer:
Given : 367 2/7
To find : Square root correct to three places of decimal.
Solution:
367 2/7
= 2571/7
= 2571 * 7 / 7 * 7
= 17,997 / 7²
134.152
17,997
1 1
_____
079
23 69
_____
1097
264 1056
______
4100
2681 2681
______
141900
26825 134125
_______
777500
268302 536604
________
24089600
2683048 21464384
________
√ (17,997 / 7²)
= 134.1528 /7
= 19.1646
= 19.165
square root of 367 2/7 = 19.165
√ 367 2/7 = 19.165
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