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Radicals Review

Radicals Review. Parts. Radical Sign. Radicand – the number underneath the radical sign. Coefficient. Radical. Pronounced: 2 times the square root of 7 OR 2 radical 7. Simplest Radical Form. When you cannot factor any more perfect squares from the radicand

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Radicals Review

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  1. Radicals Review

  2. Parts Radical Sign Radicand – the number underneath the radical sign Coefficient Radical Pronounced: 2 times the square root of 7 OR 2 radical 7

  3. Simplest Radical Form • When you cannot factor any more perfect squares from the radicand • The radical cannot be simplified further • We always want our answers to be in simplest radical form

  4. Getting Radicals into Simplest Radical Form Steps 1. Look for the largest perfect square that’s a factor of the radicand.

  5. Getting Radicals into Simplest Radical Form Steps 2. Factor using the perfect square as one of the factors.

  6. Getting Radicals into Simplest Radical Form Steps 3. Take the square root of the factor that’s a perfect square. 4

  7. Getting Radicals into Simplest Radical Form Steps 4. Write the square root as the factor in front of the radical and leave the other factor under the radical.

  8. Getting Radicals into Simplest Radical Form Steps 5. If there’s a number in front of the radical, multiply the square root by it. 3

  9. Examples

  10. Examples

  11. Examples

  12. Your Turn: • Write problems 1 – 8 in simplest radical form.

  13. Multiplying Radicals • Multiply like parts • coefficients * coefficients • radicand * radicand • Simplify the radical if necessary

  14. Examples

  15. Examples

  16. Examples

  17. Your Turn: 9. 10. 11. 12.

  18. Seek and Solve!!!

  19. What is rationalizing? • The process of algebraically removing a radical sign from one part of a fraction • We generally rationalize the denominator (But we can rationalize the numerator.)

  20. Why rationalize? • The result is easier to estimate and understand • Also shows up in solving limits (in calculus)

  21. Monomial An expression with exactly one term Non-Examples: 7x – 4 4y2 – 16y + 60 Examples: • 3x • –7x3

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