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Mastering Radicals: Simplify Expressions with Product and Quotient Properties

Learn how to simplify radical expressions using product and quotient properties, ensuring the simplest form with no square factors or fractions. Practice examples included.

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Mastering Radicals: Simplify Expressions with Product and Quotient Properties

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  1. WARM UP 4 SLOPE AND Y-INTERCEPT Find the slope and y-intercept. y = 5x + 6 y = -4x + 5 y – 8x = 2 2x + 3y = 6

  2. WARM UP 3 SLOPE AND Y-INTERCEPT Find the slope and y-intercept. y = 5x + 6 y = -4x + 5 y – 8x = 2 2x + 3y = 6

  3. WARM UP 2 SLOPE AND Y-INTERCEPT Find the slope and y-intercept. y = 5x + 6 y = -4x + 5 y – 8x = 2 2x + 3y = 6

  4. WARM UP 1 SLOPE AND Y-INTERCEPT Find the slope and y-intercept. y = 5x + 6 y = -4x + 5 y – 8x = 2 2x + 3y = 6

  5. WARM UP 0 SLOPE AND Y-INTERCEPT Find the slope and y-intercept. y = 5x + 6 y = -4x + 5 y – 8x = 2 2x + 3y = 6

  6. 9.3 Simplifying Radicals Goal Simplify radical expressions Key Words Radical Simplest form of a radical expression Product property of radicals Quotient property of radicals

  7. 9.3 Simplifying Radicals The simplest form of a radical expression is an expression that has no perfect square factors other than 1 in the radicand, no fractions in the radicand, and no radicals in the denominator of a fraction. Properties of radicals can be used to simplify expression that contain radicals.

  8. 9.3 Simplifying Radicals

  9. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 1

  10. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 2

  11. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 3

  12. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 4

  13. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 5

  14. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 4

  15. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 4

  16. 9.3 Simplifying Radicals SIMPLIFY THE EXPRESSION Example 4

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