# How do you use the square roots of 144 and 169 to estimate the square root of 154?

##### 1 Answer

Apr 10, 2015

Since

Difference:

Percent of the way through the difference:

Thus a nice estimate for the square root of 154 is 0.4 + 12 = 12.4. The true square root is 12.410, with a -0.0780% error.