How do you simplify #sqrt5(2sqrt5 - sqrt4)#?

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Answer 1 · 2018-04-01T19:44:48

#10-2sqrt5#

Distribute #sqrt(5):#

#sqrt(5)(2sqrt5-sqrt4)=2sqrt(5)sqrt(5)-sqrt(4)sqrt(5)#

Recall that #sqrtasqrta=a#

So, we have

#2(5)-sqrt(4)sqrt(5)#

#sqrt(4)=2,# so we end up with

#10-2sqrt5#