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Objectives The student will be able to:

Objectives The student will be able to:. 1. simplify square roots, and 2. simplify radical expressions. SOL: A.3. Designed by Skip Tyler, Varina High School. If x 2 = y then x is a square root of y. In the expression , is the radical sign and 64 is the radicand .

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Objectives The student will be able to:

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  1. ObjectivesThe student will be able to: 1. simplify square roots, and 2. simplify radical expressions. SOL: A.3 Designed by Skip Tyler, Varina High School

  2. 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

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

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

  5. 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, ...

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

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

  8. Simplify • . • . • . • .

  9. How do you simplify variables in the radical? What is the answer to ? Look at these examples and try to find the pattern… As a general rule, divide the exponent by two. The remainder stays in the radical.

  10. 4. Simplify Find a perfect square that goes into 49. 5. Simplify

  11. Simplify • 3x6 • 3x18 • 9x6 • 9x18

  12. 6. Simplify Multiply the radicals.

  13. 7. Simplify Multiply the coefficients and radicals.

  14. Simplify • . • . • . • .

  15. How do you know when a radical problem is done? • No radicals can be simplified.Example: • There are no fractions in the radical.Example: • There are no radicals in the denominator.Example:

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

  17. Uh oh… Another radical in the denominator! 9. Simplify Whew! It simplified again! I hope they all are like this!

  18. Uh oh… There is a fraction in the radical! 10. Simplify Since the fraction doesn’t reduce, split the radical up. How do I get rid of the radical in the denominator? Multiply by the “fancy one” to make the denominator a perfect square!

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