How do you simplify $(sqrt5-2)(sqrt5-1)$ ?

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How do you simplify $(sqrt5-2)(sqrt5-1)$ ?

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Answer 1 · 2017-04-23T15:36:02

$color(blue)(=7-3sqrt5$

Explanation:

$(sqrt5-2)(sqrt5-1)$

$color(white)(aaaaaaaaaaaaa)$ $sqrt5-2$
$color(white)(aaaaaaaaaaaaa)$ $sqrt5-1$
$color(white)(aaaaaaaaaaaaa)$ $------$
$color(white)(aaaaaaaaaaaaaaa)$ $5-2sqrt5$
$color(white)(aaaaaaaaaaaaaaaaaa)$ $-sqrt5+2$
$color(white)(aaaaaaaaaaaaa)$ $------$
$color(white)(aaaaaaaaaaaaaaa)$ $color(blue)(5-3sqrt5+2$

$color(blue)(=7-3sqrt5$

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How do you simplify $(sqrt5-2)(sqrt5-1)$ ?

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How do you simplify (sqrt5-2)(sqrt5-1)(sqrt5-2)(sqrt5-1)?

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How do you simplify $(sqrt5-2)(sqrt5-1)$ ?