How do you simplify $(sqrt 5 - 2)(sqrt 5 - 4)$ ?

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Answer 1 · 2015-09-24T17:25:59

I found: $13-6sqrt(5)$

You can multiply to get:
$(sqrt(5)-2)(sqrt(5)-4)=sqrt(5)sqrt(5)-4sqrt(5)-2sqrt(5)+8=$
$=5-6sqrt(5)+8=13-6sqrt(5)$

How do you simplify (sqrt 5 - 2)(sqrt 5 - 4)(sqrt 5 - 2)(sqrt 5 - 4)?