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Warm up

Warm up. Convert to a fraction: 0.234. Lesson 11-3 Rational Square Roots. Objective: To find the square root of numbers that have rational square roots. Square Roots. The inverse of squaring something is taking the square root. If a 2 = b then a is the square root of b

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Warm up

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  1. Warm up • Convert to a fraction: 0.234

  2. Lesson 11-3 Rational Square Roots Objective: To find the square root of numbers that have rational square roots.

  3. Square Roots • The inverse of squaring something is taking the square root. • If a2 = b then a is the square root of b • Every positive real number a has two square roots and • Zero only has 1 square root

  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. Square root Square root Perfect square Perfect square 1 81 4 100 9 121 16 144 25 169 36 196 49 225 64

  6. Product Property of Square Roots • For any nonnegative real numbers a and b:

  7. Quotient Property of Square Roots • For any nonnegative real number a and any positive real number b:

  8. Examples = 3 • 10 = 30 =

  9. Examples

  10. Practice

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