1. Section 2.5 Operations with Radicals
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2. Review: What are Radicals?
Radicals are integers with exponents that are fractions
When multiplying two powers with the same base, you add the exponents
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3. Multiplying Radicals
The product of two similar radicals will become a whole number
Numbers outside stay outside, inside stay inside
Ex: Simplify the following
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4. Practice: Multiply the radicals
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5. Ex: Arrange the following from least to greatest:
Convert each mixed radical to complete radicals
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6. Practice: Simplify the Following
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7. Dividing Radicals:
When dividing radicals, simplify by dividing the numbers outside the radical together, and then the numbers inside.
Never leave a radical in the denominator. Rationalize by multiplying both the numerator and denominator be the radical in the denominator
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8. Ex: Rationalize the following
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9. Adding & Subtracting Radicals
You can only add two polynomials if they are like terms
Likewise, you can only add or subtract two radicals if they are “like radicals”
Simplify a radical if the number inside the radical sign becomes the same
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10. Simplify the following:
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11. II) Conjugates
Multiplying a binomial with it’s conjugate will eliminate all the radicals
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13. Homework:
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