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PPT – 3.1 Solving Equations Using Addition and Subtraction PowerPoint presentation | free to download - id: 78adc4-ODk5Y

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Warm Up Review - Simplify.

Write the problem.

Write the radicand as prime factors.

Simplify.

Use good form alphabetical order (inside and

outside of the radical) with radical last.

If the power of the variable is an odd number,

write the variable with absolute value bars

Simplify.

You can have more than one variable in absolute

value bars.

Warm Up Simplify.

Example 2

Example 3

Example 1

Example 4

Example 5

Simplify.

Example 1

Example 2

Simplify.

Example 4

Example 3

Simplify.

Example 5

10-1B Simplifying Radicals

Algebra 1 Glencoe McGraw-Hill Linda

Stamper

Simplifying Radicals

The simplest form of a radical expression is an

expression that has

No perfect square factors other than 1 in the

radicand.

not simplified

No fractions in the radicand.

not simplified

No radicals in the denominator of a fraction.

not simplified

Quotient Property of Radicals

zero unnnder the fraction line is unnndefined.

In general, write the fraction in lowest terms.

Write the numerator as a radical and

write the denominator as a radical.

Simplify.

You may not want to write some fractions in

lowest terms.

Quotient Property of Radicals

zero unnnder the line is unnndefined.

not simplified

Quotient Property of Radicals

zero unnnder the fraction line is unnndefined.

Rewrite the problem as one radical.

Write the fraction in lowest terms.

Simplify.

Simplify.

Example 1

Example 2

Poor form

Simplifying Radicals

The simplest form of a radical expression is an

expression that has

No perfect square factors other than 1 in the

radicand.

not simplified

No fractions in the radicand.

not simplified

No radicals in the denominator of a fraction.

not simplified

Simplifying fractions

answer

How does this become one half?

How does this become five tenths?

Rationalizing the Denominator

This is a process used to eliminate a radical

from the denominator.

Multiply the numerator and the denominator by the

radical shown in the denominator.

Simplify.

The idea is to create a square for the

denominator so you can get rid of the radical.

Simplify the expression.

Example 4

Example 3

Example 5

Example 6

Simplify the expression.

Example 4

Example 3

You cannot reduce because the numerator and the

denominator are not both radicals.

Simplify the expression.

Example 5

Example 6

Practice Problems Simplify.

Simplify.

Simplify.

Simplify.

Simplify.

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Homework

10-A3 Skills Practice Wkb. Page 63 1-20.

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