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12.5 Simplifying Square Roots

12.5 Simplifying Square Roots. CORD Math Mrs. Spitz Spring 2007. Objectives. Simplify square roots, and simplify radical expressions that contain variables. Assignment. pp. 495-496 #5-53.

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12.5 Simplifying Square Roots

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  1. 12.5 Simplifying Square Roots CORD Math Mrs. Spitz Spring 2007

  2. Objectives • Simplify square roots, and • simplify radical expressions that contain variables.

  3. Assignment • pp. 495-496 #5-53

  4. If x2 = y then x is a square rootof y.In the expression is the radical signand64 is the radicand. 1. Find the square root: 8 2. Find the square root: -0.2

  5. 3. Find the square root: 11, -11 4. Find the square root: 21 5. Find the square root: -5/9

  6. 6. Use a calculator to find each square root. Round the decimal answer to the nearest hundredth. 6.82, -6.82

  7. What numbers are perfect squares? 1 • 1 = 1 2 • 2 = 4 3 • 3 = 9 4 • 4 = 16 5 • 5 = 25 6 • 6 = 36 49, 64, 81, 100, 121, 144, ...

  8. 1. Simplify. Find a perfect square that goes into 147.

  9. 2. Simplify Find a perfect square that goes into 605.

  10. 3. Simplify. For variables, divide the exponent by two. 7 ÷ 2 = 3 with remainder 1 The remainder stays in the radical.

  11. 4. Simplify. Find a perfect square that goes into 49.

  12. 5. Simplify. Multiply the radicals.

  13. 6. Simplify. Multiply the coefficients and the radicals.

  14. 7. Simplify. Divide the radicals.

  15. 8. Simplify.

  16. 9. Simplify. On the board! Answer:

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