How do you simplify 2sqrt(28)2√28?

2 Answers
George C.
Sep 26, 2015

2 sqrt(28) = 4 sqrt(7)2√28=4√7

Explanation:

When a >= 0a≥0, sqrt(a^2) = a√a2=a

and when a, b >= 0a,b≥0, sqrt(ab) = sqrt(a)sqrt(b)√ab=√a√b

So:

2 sqrt(28) = 2 sqrt(2*2*7) = 2 sqrt(2*2) sqrt(7) = 2*2 sqrt(7) = 4 sqrt(7)2√28=2√2⋅2⋅7=2√2⋅2√7=2⋅2√7=4√7

Daniel L.
Sep 26, 2015

2sqrt(28)=4sqrt(7)2√28=4√7

Explanation:

2*sqrt(28)=2*sqrt(4*7)=2*sqrt(4)*sqrt(7)=4sqrt(7)2⋅√28=2⋅√4⋅7=2⋅√4⋅√7=4√7

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