Question

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

Answer 1

Sample Response: Approximate between two whole numbers by finding the perfect squares nearest to the target number. Identify which value the non-perfect square root is closest to, then use the iterative process to approximate further to the tenths place, and then further to the hundredths place.

Answer 2

Let's pretend it is the √5. We know √4 is 2 and √9 is 3. So, we know it is between 2 and 3. 5 is closer to 4 so we know it is less than 2.5. You keep using tis method until you find an answer.