How do you simplify $(sqrtm-sqrt5)^2$ ?

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Answer 1 · 2017-06-17T06:19:53

$=m-2sqrt(5m)+5$

Recall that $(a-b)^2=a^2-2ab+b^2$

$(sqrt(m)-sqrt(5))^2$
$=(sqrt(m))^2-2(sqrt(m))(sqrt(5))+(sqrt(5))^2$
$=m-2sqrt(m×5)+5$
$=m-2sqrt(5m)+5$

How do you simplify (sqrtm-sqrt5)^2(sqrtm-sqrt5)^2?