SQUARE ROOT OF 92
- The two perfect squares this number is between are 81 and 100.
- Estimate the square root of the number to one decimal point.
- Divide the number by your estimate and evaluate to the nearest thousandth.
Therefore, 
is between 
and
.
Because
= 9 and = 10,
must
be between 9 and 10.
is between and
.
Because
= 9 and = 10,
must
be between 9 and 10.
Because 92 is 11 away from 81 and 8 away from 100, the estimate is 9.6.
Therefore, 92 ÷ 9.6 = 9.583.
Find the average of the estimate and the quotient.
Check how good the result is by squaring it: (9.592)2 = 92.006464.