Page 516 - Algebra 1

d. 2√ 6x √ 4x
SOLUTION
2 √ 6 x √ 4 x √
= 2 24x2 = 4x√6
Multiply. Simplify.
Applying the Distributive Property
Example
2
Simplify.
a. √ 2(3 + √ 6) SOLUTION
√ 2 ( 3 + √ 6 ) = 3√2 + √1 2 = 3√2 + 2√3
b. √ 2(√ 6 - √ 9) SOLUTION
Caution
A number outside the radical and the radicand cannot be multiplied.
2 √ 3 ≠ √ 6 2 √ 3 = 2 √ 3
Use the Distributive Property. Simplify.
Use the Distributive Property. Simplify.
Multiplying Binomials with Radicals
√2 (√6 - √9 ) = √1 2 - √1 8 = 2√3 - 3√2
Simplify.
a. (4 + √ 9)(2 - √ 6) SOLUTION
(4 + √9 )(2 - √6 )
= 8 - 4√6 + 2√9 - √5 4 = 8 - 4√6 + 6 - 3√6
= 14 - 7√6
b . ( 6 - √ 3 ) 2 SOLUTION
( 6 - √ 3 ) 2
= 36 - 12√3 + √9 = 39 - 12√3
Use the Distributive Property or FOIL. Simplify the radicals.
Simplify by combining like terms.
Use the square of a binomial pattern. Simplify the radical and combine like terms.
Example
3
Lesson 76 501