How do you simplify square root 125 + square root 1/5 - square root 49/5?

1 Answer
Olivier B.
Oct 7, 2015

#sqrt125+sqrt(1/5)-sqrt(49/5)=19/sqrt5#

Explanation:

#sqrt125=sqrt(25*5)=sqrt(25*25/5)=sqrt(25^2/5)=sqrt(25^2)/sqrt5=25/sqrt5#

#sqrt(1/5)=sqrt1/sqrt5=1/sqrt5#

#sqrt(49/5)=sqrt(7^2/5)=sqrt(7^2)/sqrt5=7/sqrt5#

#rarr sqrt125+sqrt(1/5)-sqrt(49/5)=25/sqrt5+1/sqrt5-7/sqrt5=(25+1-7)/sqrt5=19/sqrt5#

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