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11.4891253
± 11.489125
The numbers are: (-14 + the square root 132) and (-14 - the square root of 132)
the square root of 132, roughly 11.489125
66
It is 132
11.4891253
± 11.489125
√144 = 12 + 132 = 144 √144 = -12 + 132 = 120
The numbers are: (-14 + the square root 132) and (-14 - the square root of 132)
Almost exactly 723... Simplified, the square root of 522,720 is 132 times the square root of 30.
the square root of 132, roughly 11.489125
11 and 12
66
The product of two consecutive integers is 132. Find the two integers. They are: 11*12 = 132
The cube root of 132 is about 5.09
132 = 169 < 184 < 196 = 142 So 13 < √184 < 14 So estimating from consecutive whole numbers would give the answer "13 and a bit". But you can do better than that by interpolating. The square-root function is, obviously, not linear but you will not go too far wrong between consecutive integers (unless you are dealing with very small number). 184 is (184-169)/(196-169) = 15/27 of the distance between 132 and 142 so the square root is approx 15/27 = 5/9 of the way from 13 to 14 ie 13+5/9 = 13.555... recurring. In fact, the correct value is approx 13.5647 so the estimate is accurate to 2 decimal places.