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.

What is the main challenge when finding the square root of 20 without a calculator?

• It is a whole number.

• It is a perfect square.

• It is an irrational number.

• It is a rational number.

Which of the following is a perfect square?

• Square root of 22

• Square root of 18

• Square root of 20

• Square root of 25

Why are numbers like the square root of 20 considered irrational?

• They are perfect squares.

• They are non-terminating and non-repeating decimals.

• They are whole numbers.

• They can be expressed as a fraction.

Between which two perfect squares does the square root of 20 lie?

• Square root of 9 and square root of 16

• Square root of 16 and square root of 25

• Square root of 4 and square root of 9

• Square root of 25 and square root of 36

Which point on the number line best approximates the square root of 20?

• Point P

• Point Q

• Point R

• Point S