Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify #(6+sqrt 7)(6-sqrt 7)#?

1 Answer

Feb 13, 2016

#=color(blue)(29#

Explanation:

#(6+sqrt7)(6-sqrt7)#

The above expression is of the form
#color(blue)((a+b)(a-b) = a^2 - b^2#

#color(blue)(a=6, b=sqrt7#

So,
#(6+sqrt7)(6-sqrt7) = color(blue)(6^2 - (sqrt7)^2#

#=36-7#

#=29#

Related questions

See all questions in Multiplication and Division of Radicals

Impact of this question

2385 views around the world

You can reuse this answer
Creative Commons License