What is the square root of (64-x^2)?

1 Answer
Trevor Ryan.
Sep 30, 2015

#sqrt(64-x^2)=sqrt((8+x)(8-x))#

#sqrt(64x^2)=8x#

Explanation:

Applying the rule for difference of 2 squares, we may write this as

#sqrt(64-x^2)=sqrt((8+x)(8-x))#

If the original question had to be #sqrt(64x^2)# then by laws of surds this would be equal to #sqrt64*sqrt(x^2)=8x#

Related questions
See all questions in Simplification of Radical Expressions
Impact of this question
11570 views around the world
You can reuse this answer
Creative Commons License