logo for solving-math-problems.com
leftimage for solving-math-problems.com

Algebra 2 – simplify radical expression

by Jessica
(California)











































Simplify Fraction Containing Radicals

The square root of 21 divided by the square root of 7

√21 / √7

Note that when 21 and 7 are factored, both have a factor of 7.

Comments for Algebra 2 – simplify radical expression

Click here to add your own comments

Jul 15, 2013
Simplify Expression
by: Staff


Answer

Part I


√21 / √7


square root of 21 divided by square root of 7





Using the Radical property of division, combine both numbers under one radical sign



Radical property of division


radical property of division




----------------------------------------------------------------------------

Jul 15, 2013
Simplify Expression
by: Staff


----------------------------------------------------------------------------



Part II


= √(21/7)


combine radicands under a single radical sign




Reduce the radicand to its lowest terms

= √[(3 * 7) / 7]

= √3


reduce the radicand to its lowest terms






----------------------------------------------------------------------------

Jul 15, 2013
Simplify Expression
by: Staff

----------------------------------------------------------------------------



Part III



The final answer is:

√21 / √7 = √3


square root of 21 divided by square root of 7  - final answer








Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com