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Unit 2 Section 1 Simplifying Radicals Day 1

Learn how to simplify radicals by taking the square root of perfect squares, breaking down the radicand into numbers, dividing radicals to simplify fractions, and finding equivalent expressions by solving for x.

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Unit 2 Section 1 Simplifying Radicals Day 1

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  1. Unit 2 Section 1Simplifying RadicalsDay 1

  2. Perfect Squares 1 121 • 12 = • 22= • 32= • 42= • 52= • 62= • 72= • 82= • 92= • 102 • 112 = • 122= • 132= • 142= • 152= • 162= • 172= • 182= • 192= • 202= 144 4 9 169 16 196 225 25 36 256 49 289 324 64 81 361 100 400

  3. How to Simplify Radicals • If the number is a perfect square, just take the square root of the number • If not : • Using multiplication, break down the radicand into 2 numbers • 1st number being the HIGHEST perfect square that divides into the radicand

  4. Examples • 1.) • 2.) • 3.)

  5. 4.) • 5.)

  6. 6.) • 7.) • 8.)

  7. 9.) • 10.) • 11.)

  8. 12.) • 13.) • 14.)

  9. Simplifying Radicals Day 2

  10. REVIEWSimplify A. . B. . C. . D. .

  11. REVIEWSimplify A. . B. . C. . D. .

  12. Simplifying Radicals as Fractions • Divide the numerator by the denominator and simplify OR • Take the square roots of the numerator and denominator separately

  13. 1. Simplify. Divide the radicals. Uh oh… There is a radical in the denominator! Whew! It simplified!

  14. 2. Simplify

  15. 3. Simplify

  16. 4. Simplify

  17. 5. Simplify

  18. 6. Simplify

  19. Simplifying Square Roots Day 3

  20. What makesequivalent to ?

  21. What makesequivalent to ?

  22. What makesequivalent to ?

  23. For what value of x should the expression be simplified? • x = 22 • x = 13 • x = 15 • x = 26

  24. For what value of x should the expression be simplified? • x = 15 • x = 21 • x = 39 • x = 51

  25. For what value of x should the expression be simplified? • x = 13 • x = 34 • x = 118 • x = 65

  26. For what value of x is equal to • 2 • 7 • 14 • 28

  27. For which value of x is the expression equal to a whole number? • 4 • 5 • 18 • 25

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