Question

Javier estimates the square root of 18 in the following way:

√18=2√9=2*3=6
A: Explain why her reasoning is incorrect.


B: Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.

Answer 1

Explanation:

√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.

4x4 = 16

5x5 = 25

so √18 is between 4 and 5. closer to 4