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How do you simplify (3 - 2√2) (2 - 5√2)?

1 Answer

Jul 13, 2018

$\Rightarrow 26 - 19 \sqrt{2}$ $color(green)(=> 26 - 19 sqrt2$

Explanation:

$(3 - 2 \sqrt{2}) \cdot (2 - 5 \sqrt{2})$ $(3-2 sqrt2) * (2 - 5 sqrt2)$

$\Rightarrow 6 - 4 \sqrt{2} - 15 \sqrt{2} + (2 \sqrt{2} \cdot 5 \sqrt{2})$ $=> 6 - 4 sqrt2 - 15 sqrt2 + (2 sqrt 2 * 5 sqrt2)$

$\Rightarrow 6 - 19 \sqrt{2} + 10 {(\sqrt{2})}^{2}$ $=> 6 - 19 sqrt2 + 10 (sqrt2)^2$ , ${(\sqrt{2})}^{2} = 2$ $color(crimson)((sqrt2)^2 = 2$

$\Rightarrow 6 - 19 \sqrt{2} + 20$ $=> 6 - 19 sqrt2 + 20$

$\Rightarrow 26 - 19 \sqrt{2}$ $color(green)(=> 26 - 19 sqrt2$

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