How do you simplify √20−√5?

2 Answers
Reactionary Green Negroid
May 31, 2018

√5

Explanation:

Since 20 is divisible by 4, which is a perfect square, √20 which is the same as √(4⋅5) can be written as 2√5 by taking the 4 out of the radical and square rooting it. Hence, we can now derive:

2√5 - √5 = √5

Therefore, the answer is √5 which is approximately 2.236.

sjc
May 31, 2018

√5

Explanation:

√20−√5

=√4×5−√5

=√4√5−√5

=2√5−√5

=√5

Related questions
See all questions in Addition and Subtraction of Radicals
Impact of this question
2246 views around the world
You can reuse this answer
Creative Commons License