Approximating Irrational Square Roots | 8.NS.A.2

The video tutorial explains how to approximate the square root of 20 on a number line without using a calculator. It begins by introducing the concept of irrational square roots and the problem of locating the square root of 20. The tutorial then discusses perfect squares and rational numbers, highlighting that numbers between perfect squares are irrational. The video guides viewers through the process of approximating the square root of 20 by identifying its position between the square roots of 16 and 25. The tutorial concludes by determining that point Q on the number line is the best approximation for the square root of 20.

Identify the perfect squares mentioned in the video and their corresponding square roots.

Discuss the significance of non-perfect squares in relation to rational and irrational numbers.

What is the approximate location of the square root of 20 on the number line?

Explain why the square root of 20 is considered an irrational number.

How can we approximate the square root of 20 without using a calculator?