Quiz 5-2 Simplify the following:

2.

Math - 2Sec 5-3Properties of Square Roots

Simplify the RadicalExample: 2*2 = 4Try:A. B. C.

Product Properties of Radicals

* * = =

* = =

1. * = 2

2. * = 3

3. * =

4. * =

5. * =

Quotient Property of square roots In order to divide radicals the index number must be the

same Check to see if the numerator and the denominator can

simplify Simplify: Rewrite the problem so that there are no radicals

in the denominator. This is called rationalizing the denominator

Index Number

6. = = 7. = * = = =

Rationalize Denominator

Quotient Property (simplify)8. = = ?? 9. = (simplify)

10. = (simplify)11. = ?? (simplify)

Quotient Property Rationalize the Denominator.Rationalizing the denominator means to remove the radical from the denominator. Rationalize denominator

EX. = * = = =

Rationalize Denominator (con)12. = ??

13. = ??

14.

Multiply the binomials with adicalsExample:( 2 + ) ( 4 + ) (Foil)

First: 2 *4 = ?Outside: 2 * = ?Inside: 4 * = ?Last: = ?Answer: 8+ 2 +4 +

Try:15. ( 2 + ) ( 2 - )Ans: -116. ( 3 + ) ( 3 - )Ans: 517. ( 1 + ) ( 1 - )Ans: -2

Rational the denominator (con)Rationalize the denominator using the conjugate (same terms opposite sign).

Example:

(Multiply by the conjugate to solve in the numerator and denominator, same terms, opposite sign) * = (Foil) first Out inside last 0

= = = = 3 +

Try: Rationalize Denominator18.

Answer:

19.

Answer :

The End!!!