1 2 Square Roots of Non Perfect Squares
- Slides: 8
1. 2 Square Roots of Non. Perfect Squares LEARNING OBJECTIVE: CAN I DETERMINE THE SQUARE ROOT OF A NON-PERFECT SQUARE?
Lesson Goals 1. Approximate the square roots of decimals and fractions of nonperfect squares. 2. Use the Pythagorean Theorem to find the missing side of a right triangle.
Introduction. . . Many fractions and decimals are not perfect squares. A fraction or decimal that is not a perfect square is called a non-perfect square. ◦ The square roots of these numbers do not work out evenly! ◦ Vocabulary: A non-perfect square is a number that cannot be written as the product of two equal numbers. How can we estimate a square root of a decimal that is a non-perfect square?
Here are 2 strategies. . . Ask yourself: “Which 2 perfect squares are closest to 7. 5? ” 2 7. 5 2. 5 7. 5 is closer to 9 than to 4, so 3 is closer to 3 than to 2. What would be a good approximation?
Strategy #2. . . Use a calculator! But, of course, you must be able to do both on a test!
Example #1 Determine an approximate value of each square root. close to 9 close to 4 We call these 2 numbers ‘benchmarks’. ~ What does this mean?
Example #2 Determine an approximate value of each square root. Your benchmarks! 0. 20 0. 25 0. 30 0. 36 0. 40 Of course, you can always use a calculator to CHECK your answer!
Unit 1 Assignment 2 p. 18 #4 abcd, 5 abc, 6, 7 abcd, 11 aceg, 13, 15, 16, 20
