Simplify radicals
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This document provides objectives and instructions for simplifying square roots and radical expressions. It begins by defining the radical sign and radicand. Examples are then provided to simplify square roots of various numbers. The document continues with examples of simplifying variables within radicals by dividing the exponent by two. It also discusses identifying when a radical problem is fully simplified by having no radicals in the denominator or fractions within radicals.
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Use the presentation to review questions similar to what you will see on the test. Answers for each round are located on the "End Round" slides.
Solving Quadratic Equations by Extracting Square Roots
You will learn how to solve quadratic equations by extracting square roots.
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Today's lesson covered rational expressions and simplifying fractions. Students learned to:
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3) Note any excluded values where the denominator could equal zero.
Simplifying rational expressions involves factoring and cancelling common factors, being careful not to cancel terms. Excluded values occur when dividing or when the final denominator is set to equal zero.
Simplifying Radical Expressions Mathemat
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Solving Quadratic-Equation.pptx
The document provides information about an online math class, including:
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The document defines multiples as the result of multiplying two numbers. It provides examples of listing the multiples of various numbers like 2, 5, 4, and 13. It includes exercises for students to identify multiples and write multiples between given numbers. The document also introduces the concept of consecutive multiples as multiples that follow one another numerically.
Squares cubes and roots edmodo 2013 14
This document covers topics in 8th grade math including squares, cubes, and roots. It discusses:
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Mathematics 9 Radical Expressions (1)
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- 1. Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions.
- 2. In the expression , is the radical sign and 64 is the radicand. If x2 = y then x is a square root of y. 1. Find the square root: 8 2. Find the square root: -0.2 64 64 â 0.04
- 3. 11, -11 4. Find the square root: 21 5. Find the square root: 3. Find the square root: Âą 121 441 â 25 81 5 9 â
- 4. 6.82, -6.82 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth. Âą 46.5
- 5. 1 âĸ 1 = 1 2 âĸ 2 = 4 3 âĸ 3 = 9 4 âĸ 4 = 16 5 âĸ 5 = 25 6 âĸ 6 = 36 49, 64, 81, 100, 121, 144, ... What numbers are perfect squares?
- 6. 1. Simplify Find a perfect square that goes into 147. 147 147 349= g 147 349= g 147 7 3=
- 7. 2. Simplify Find a perfect square that goes into 605. 605 121 5g 121 5g 11 5
- 8. Simplify 1. . 2. . 3. . 4. . 2 18 72 3 8 6 2 36 2
- 9. Look at these examples and try to find the patternâĻ How do you simplify variables in the radical? x7 1 x x= 2 x x= 3 x x x= 4 2 x x= 5 2 x x x= 6 3 x x= What is the answer to ?x7 7 3 x x x= As a general rule, divide the exponent by two. The remainder stays in the radical.
- 10. Find a perfect square that goes into 49. 4. Simplify 49x2 2 49 xg 7x 5. Simplify 25 8x 25 4 2xg 12 2 2x x
- 11. Simplify 36 9x 1. 3x6 2. 3x18 3. 9x6 4. 9x18
- 12. Multiply the radicals. 6. Simplify 6 âĸ 10 60 4 15g 4 15g 2 15
- 13. 7. Simplify 2 14 âĸ3 21 Multiply the coefficients and radicals. 6 294 6 49 6g 6 649g g 42 6 6 67g g
- 14. Simplify 1. . 2. . 3. . 4. . 2 4 3x 4 4 3x 2 48x 4 48x 3 6 8x xg
- 15. How do you know when a radical problem is done? 1. No radicals can be simplified. Example: 2. There are no fractions in the radical. Example: 3. There are no radicals in the denominator. Example: 8 1 4 1 5
- 16. 8. Simplify. Divide the radicals. 108 3 108 3 36 6 Uh ohâĻ There is a radical in the denominator! Whew! It simplified!
- 17. 9. Simplify 8 2 2 8 4 1 4 4 2 2 Uh ohâĻ Another radical in the denominator! Whew! It simplified again! I hope they all are like this!
- 18. 10. Simplify 5 7 5 7 75 7 7 = g 35 49 = 35 7 = Since the fraction doesnât reduce, split the radical up. Uh ohâĻ There is a fraction in the radical! How do I get rid of the radical in the denominator? Multiply by the âfancy oneâ to make the denominator a perfect square!