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what is the square root of 952

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2 Answers

952 = 2*476
= 2*2*238
= 2*2*2*119
= 2*2*2*7*17 ≈ 2*2*16*16 ≈ 2*16 ≈ 32 (1st estimate)

32^2 = 960+64=1024
31^2 = 930+31=961
30^2 = 900
30 + (952-900)/(961-900)
= 30 + 52/61 ≈ 30 + 6*9/(6*10) ≈ 30.9 (2nd estimate)

952 = 2√(238) ≈ 30.85449724108302 calculator