How do you simplify $2sqrt5(4-3sqrt5)$ ?

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Answer 1 · 2015-12-15T12:57:43

$=color(blue)( 8sqrt5 -30$

$color(blue)(2sqrt5) * (4 - 3sqrt5)$

$= color(blue)(2 * sqrt5) * (4 ) +color(blue)(2sqrt5) *(- 3sqrt5)$

$= 2* 4 (sqrt5) + (2) * (- 3) * sqrt5 * sqrt5$

$= 8sqrt5 -6 * sqrt5 * sqrt5$

$= 8sqrt5 -6 *5$

$=color(blue)( 8sqrt5 -30$

How do you simplify 2sqrt5(4-3sqrt5)2sqrt5(4-3sqrt5)?