How do you simplify #sqrt 50 - sqrt 98#?

1 Answer
Jul 8, 2016

Answer:

#sqrt(50)-sqrt(98)=color(blue)(-2sqrt(2))#

Explanation:

#color(red)(sqrt(50))=sqrt(5^2*2)=sqrt(5^2)*sqrt(2)=color(red)(5sqrt(2))#

#color(green)(sqrt(98))=sqrt(7^2*2)=sqrt(7^2)*sqrt(2)=color(green)(7sqrt(2))#

#color(red)(sqrt(50))-color(green)(sqrt(98))=color(red)(5sqrt(2))-color(green)(7sqrt(2))=(5-7)sqrt(2)=color(blue)(-2sqrt(2))#