powered by Google (TM)
index: click on a letter
A B C D E
F G H  I  J
K L M N O
P Q R S T
U V W X Y
Z A to Z index
index: subject areas
numbers & symbols
sets, logic, proofs
geometry
algebra
trigonometry
advanced algebra
& pre-calculus
calculus
advanced topics
probability &
statistics
real world
applications
multimedia
entries
about mathwords  
website feedback  


Square Root Rules

Algebra rules for square roots are listed below. Square root rules are a subset of nth root rules and exponent rules.

 

Definitions

1. if both b ≥ 0 and b2 = a.

2.

Examples

because 32 = 9.

3. If a ≥ 0 then .

 

Distributing (a ≥ 0 and b ≥ 0)

1.

2.      (b ≠ 0)

3.

Examples

4.

 

Rationalizing the Denominator
(a > 0, b > 0, c > 0)
Examples

 

Careful!!

1.

2.

3.

Examples

 

See also

nth root, radical, factoring rules

 


  this page updated 15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
All rights reserved
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes