How do you simplify $sqrt5(10-4sqrt2)$ ?

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Answer 1 · 2016-06-19T07:37:25

$= color(green)(10sqrt5 - 4 sqrt 10$

$sqrt5 (10 - 4sqrt2)$

$= color(blue)(sqrt5) * (10 - 4sqrt2)$

We multiply $color(blue)(sqrt5$ with each of the two terms within brackets.

$= color(blue)(sqrt5) * (10 ) + color(blue)(sqrt5) * ( - 4sqrt2)$

$= 10sqrt5 + (- 4) * sqrt2 * sqrt5$

$= 10sqrt5 - 4 * sqrt (2 * 5)$

$= 10sqrt5 - 4 sqrt 10$

How do you simplify sqrt5(10-4sqrt2)sqrt5(10-4sqrt2)?