Download presentation

Presentation is loading. Please wait.

Published byFrancine Baker Modified over 5 years ago

1
Roots of Real Numbers and Radical Expressions

2
Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any positive integers n, if b^n = a, then b is the nth root of a.

3
Notation index radical radicand Note: An index of 2 is understood but not written in a square root sign.

4
Simplify To simplify means to find x in the equation: x 4 = 81 Solution: = 3

5
Principal Root The nonnegative root of a number Principal square root Opposite of principal square root Both square roots

6
Summary of Roots even odd one + root one - root one + root no - roots no real roots no + roots one - root one real root, 0

7
Rational Exponents In other words, exponents that are fractions.

8
Definition of For any real number a and any integer n > 1, except when a < 0 and n is even

9
Examples:

11
Definition of Rational Exponents For any nonzero number b and any integers m and n with n > 1, except when b < 0 and n is even

12
NOTE: There are 3 different ways to write a rational exponent

13
Examples:

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google