Title: Prentice Hall Lesson 11.1 How do you simplify a radical expression? What is the multiplication property of square roots? BOP:
1Prentice Hall Lesson 11.1How do you simplify a
radical expression? What is the multiplication
property of square roots?BOP
2Possible Answer The function is linear with a
slope of -2 and y-intercept of 7.
3Prentice 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.
4- 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.
5- 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.
6ALGEBRA 1 LESSON 11-1
11-1
7ALGEBRA 1 LESSON 11-1
11-1
8ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
11-1
9ALGEBRA 1 LESSON 11-1
(continued)
b. 7 5x 3 8x
11-1
10ALGEBRA 1 LESSON 11-1
The distance you can see is 9 miles.
11-1
11ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
11-1
12ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
11-1
13ALGEBRA 1 LESSON 11-1
(continued)
11-1
14ALGEBRA 1 LESSON 11-1
Simplify each radical expression.
11-1
15ALGEBRA 1 LESSON 11-1
(continued)
Simplify the radical expression.
11-1
16Summary
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sentence summary answering todays essential
question here!