How do you simplify #7/sqrt7#?

2 Answers
smendyka
Jun 17, 2018

See a solution process below:

Explanation:

To simplify this we need to rationalize the denominator. This means to eliminate the radical from the denominator by multiplying by the appropriate form of #1#:

#7/sqrt(7) => 7/sqrt(7) xx sqrt(7)/sqrt(7) => (7 xx sqrt(7))/(sqrt(7) xx sqrt(7)) => (7sqrt(7))/7 => sqrt(7)#

Brandon
Jun 17, 2018

#sqrt7.#

Explanation:

#7/sqrt7 xx sqrt7/sqrt7#

#rArr (7sqrt7)/sqrt49#

#rArr (7sqrt7)/7#

#rArr (cancel7sqrt7)/cancel7#

#rArr sqrt7#

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
6490 views around the world
You can reuse this answer
Creative Commons License