How do you simplify sqrt20-sqrt5√20−√5?

2 Answers
Reactionary Green Negroid
May 31, 2018

sqrt(5)√5

Explanation:

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

2sqrt(5)√5 - sqrt(5)√5 = sqrt(5)√5

Therefore, the answer is sqrt(5)√5 which is approximately 2.236.

sjc
May 31, 2018

sqrt5√5

Explanation:

sqrt20-sqrt5√20−√5

=sqrt(4xx5)-sqrt5=√4×5−√5

=sqrt4sqrt5-sqrt5=√4√5−√5

=2sqrt5-sqrt5=2√5−√5

=sqrt5=√5

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