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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 27-aug-12
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes