Simplifying Radicals

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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
(continued)
b. 7 5x 3 8x
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
To the nearest mile, the distance you can see is
9 miles.
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
(continued)
Quick Check
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
(continued)
Simplify the radical expression.
Quick Check
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Simplifying Radicals
ALGEBRA 1 LESSON 11-1
Simplify each radical expression. 1. 16
8 2. 4 144 3. 4. 5.
48
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Operations with Radical Expressions
ALGEBRA 1 LESSON 11-2
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Operations with Radical Expressions
ALGEBRA 1 LESSON 11-2
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Operations with Radical Expressions
ALGEBRA 1 LESSON 11-2
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Operations with Radical Expressions
ALGEBRA 1 LESSON 11-2
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Operations with Radical Expressions
ALGEBRA 1 LESSON 11-2
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
Solve each equation. Check your answers.
x 5 4
x 81
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
(continued)
b. x 5 4
x 5 16 Solve for x.
x 21
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
On a roller coaster ride, your speed in a loop
depends on the height of the hill you have just
come down and the radius of the loop in feet. The
equation v 8 h 2r gives the velocity v in
feet per second of a car at the top of the loop.
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
(continued)
The loop on a roller coaster ride has a radius of
18 ft. Your car has a velocity of 120 ft/s at
the top of the loop. How high is the hill of the
loop you have just come down before going into
the loop?
225 h 36 261 h
Quick Check
The hill is 261 ft high.
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
3x 4 2x 3 Simplify.
3x 2x 7 Add 4 to each side.
x 7 Subtract 2x from each side.
The solution is 7.
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
x2 x 12
x2 x 12 0 Simplify.
(x 4)(x 3) 0 Solve the quadratic equation
by factoring.
(x 4) 0 or (x 3) 0 Use the ZeroProduct
Property. x 4  or   x
3 Solve for x.
The solution to the original equation is 4. The
value 3 is an extraneous solution.
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
3x 36
x 12
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Solving Radical Equations
ALGEBRA 1 LESSON 11-3
2
5
4
no solution
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