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Unit 13 L-5 Math 8 Aim: Use square root and cube root symbols to represent solutions to equations. small perfect squares and small perfect cubes. (8.EE.2) Evaluate square roots of Simplifying Square Roots Warm Up: List the first 12 perfect squares Sometimes it is easier to leave square roots in radical form instead of using a calculator to find decimal approximations. In this lesson, you will be simplifying square roots without using your calculator to convert them into decimals. To Simplify Square Roots • Factor the number under the radical sign (radicand). Look for perfect squares that are factors of the radicand. • Rewrite the square root as the product of its factors. • Take the square root of any perfect squares. • Rewrite the expression as the product of the numbers that remain. Examples: 9 = 3 18 = 9 ∙ 2 = 9 ∙ 2 = 3 2 80 = 16 ∙ 5 = 16 ∙ 5 = 4 5 Simplify each square root completely. 1. 50 2. 28 3. 18 4. 44 5. 12 6. 75 2014-2015 7. 128 8. 288 9. 108 10. 250 11. 200 12. 504 13. 72 14. 24 15. 400 16. 196 17. 192 18. 98 19. 54 20. 84 21. 512 22. 756 23. 450 24. 360 2014-2015