Rationalize denominators of fractions'

1
EXAMPLE 2
Rationalize denominators of fractions.
Simplify
and
(a)
(b)
SOLUTION
2
EXAMPLE 2
Rationalize denominators of fractions.
SOLUTION
3
EXAMPLE 3
Solve a quadratic equation
Solve 3x2 5 41.
3x2 5 41
Write original equation.
3x2 36
Subtract 5 from each side.
x2 12
Divide each side by 3.
Take square roots of each side.
Product property
Simplify.
4
EXAMPLE 3
Solve a quadratic equation
ANSWER
The solutions are and
Check the solutions by substituting them into the
original equation.
3x2 5 41
3x2 5 41
5
EXAMPLE 4
Standardized Test Practice
SOLUTION
Write original equation.
(z 3)2 35
Multiply each side by 5.
Take square roots of each side.
Subtract 3 from each side.
6
EXAMPLE 4
Standardized Test Practice
ANSWER
The correct answer is C.
7
for Examples 2, 3, and 4
GUIDED PRACTICE
GUIDED PRACTICE
Simplify the expression.

ANSWER
ANSWER

ANSWER
ANSWER

ANSWER
ANSWER
8
for Examples 2, 3, and 4
GUIDED PRACTICE

ANSWER

ANSWER
9
for Examples 2, 3, and 4
GUIDED PRACTICE
Solve the equation.

5x2 80
ANSWER

z2 7 29
ANSWER

3(x 2)2 40
ANSWER