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

$10-2sqrt5$

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