The square root of 5 is between which two integers? Explain your reasoning.

Without using a calculator, you can reason that since 2²=4 and 3²=9, since 5 is between 4 and 9, its square root must be between 2 and 3.

between 2 and 3

Step-by-step explanation:

find a square number that is less then 5 and a square number that is larger than 5 so that we easily their square root

These two numbers are 4 and 9 and their square roots are 2 and 3. 5 is between 4 and 9 therefore square root of 5 must be between 2 and 3