How do you simplify the Square root of 245?

1 Answer
Alan P.
Jul 23, 2015

Square root 245 #= +- 7sqrt(5)#

Explanation:

#sqrt(245)#
#color(white)("XXXX")##=sqrt(5*7*7)#

#color(white)("XXXX")##=sqrt(5)*sqrt(7^2)#

#color(white)("XXXX")##= 7sqrt(5)#

Use of the literal string "Square root of" may imply that we are looking for both the positive and negative roots (and not just the positive root as implied by the square root symbol).

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
21696 views around the world
You can reuse this answer
Creative Commons License