Distinguishing Exact and Approximate Square Roots

Approximating Higher Roots with a Calculator

A calculator display of $\sqrt{8}$ is an exact value.

What does $\approx$ mean in $\sqrt{7} \approx 2.65$?

Why is $\sqrt{10} \approx 3.16227766$ an approximation?

Order the steps to approximate $\sqrt{7}$ to two decimal places and check it.

A calculator shows $\sqrt{6}\approx2.44948974$. How can you check that this value is an approximation?

Match each square root with its calculator result.

Classify each calculator result as exact or approximate. Then explain why the second result is approximate.

A calculator shows $\sqrt{11} \approx 3.31662479$. What term describes 3.31662479?

A calculator gives an approximation for $\sqrt{7}$ because $7$ is not a _____.