Question

Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.

Answer 1

use a special metho I forgot who made it

do the division using paper and long division


steps:
1. pick an estimate of the square root
example, if we find sqrt of 5, if we pick 2
2. divide the number by the estimate,
example, 5/2=2.5
3. average the result and the estimate
example, average of 2 and 2.5 is 2.25
4. repeat steps 1 to 3 with the number from step 3 as the estimate
example, 5/2.25=2.22222222, average is 2.236111, repeat previous steps

Answer 2

First, estimate between two whole numbers by finding the perfect squares nearest to the target number. Next, identify which value the non-perfect square root is closer to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.