How do you simplify $(\sqrt{5} - 2) (\sqrt{5} - 1)$ $(sqrt5-2)(sqrt5-1)$ ?

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How do you simplify $(\sqrt{5} - 2) (\sqrt{5} - 1)$ $(sqrt5-2)(sqrt5-1)$ ?

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Answer 1 · 2017-04-23T15:36:02

$= 7 - 3 \sqrt{5}$ $color(blue)(=7-3sqrt5$

Explanation:

$(\sqrt{5} - 2) (\sqrt{5} - 1)$ $(sqrt5-2)(sqrt5-1)$

$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $\sqrt{5} - 2$ $sqrt5-2$
$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $\sqrt{5} - 1$ $sqrt5-1$
$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $- - - - - -$ $------$
$a a a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaaaa)$ $5 - 2 \sqrt{5}$ $5-2sqrt5$
$a a a a a a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaaaaaaa)$ $- \sqrt{5} + 2$ $-sqrt5+2$
$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $- - - - - -$ $------$
$a a a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaaaa)$ $5 - 3 \sqrt{5} + 2$ $color(blue)(5-3sqrt5+2$

$= 7 - 3 \sqrt{5}$ $color(blue)(=7-3sqrt5$

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How do you simplify $(\sqrt{5} - 2) (\sqrt{5} - 1)$ $(sqrt5-2)(sqrt5-1)$ ?

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How do you simplify $(\sqrt{5} - 2) (\sqrt{5} - 1)$ $(sqrt5-2)(sqrt5-1)$ ?