Prentice Hall Lesson 11.1 How do you simplify a radical expression? What is the multiplication property of square roots? BOP:

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Prentice Hall Lesson 11.1How do you simplify a
radical expression? What is the multiplication
property of square roots?BOP
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• Solution to BOP

Possible Answer The function is linear with a
slope of -2 and y-intercept of 7.
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Prentice Hall Lesson 11.1How do you simplify a
radical expression? What is the multiplication
property of square roots?

• Toolbox
• Radical expressions contain a radical
• Multiplication Property of Square Roots
• For every number a 0 and b 0,
  vab va vb
• To simplify radical expressions, rewrite the
  radicand as a product of perfect-square factors
  and the remaining factors. Simplify by taking
  the square root of the perfect-square factors,
  leaving the remaining factors as the radicand.

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• You may use the product of radicals to find
  perfect-square factors needed to simplify radical
  expressions.

• Division Property of Square Roots
• For every number a 0 and b gt 0,
• v va
• vb
• When the denominator of the radicand is a
  perfect square, it is easier to simplify the
  numerator and denominator separately.
• When the denominator of the radicand is not a
  perfect square, divide first, then simplify.

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• When the radicand in the denominator is not a
  perfect square, you may need to rationalize the
  denominator. Multiply the numerator and
  denominator by the same radical expression,
  making the denominator a perfect square.
• A radical expression is in simplest radical form
  when all three statements are true
• The radicand has no perfect-square factors other
  than 1.
• The radicand has no fractions.
• The denominator of a fraction has no radical.

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ALGEBRA 1 LESSON 11-1
11-1
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ALGEBRA 1 LESSON 11-1
11-1
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ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
11-1
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ALGEBRA 1 LESSON 11-1
(continued)
b. 7 5x 3 8x
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ALGEBRA 1 LESSON 11-1
The distance you can see is 9 miles.
11-1
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ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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ALGEBRA 1 LESSON 11-1
(continued)
11-1
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ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
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ALGEBRA 1 LESSON 11-1
(continued)
Simplify the radical expression.
11-1
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Summary

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