How do you multiply $(\sqrt{10} + 1) (8 \sqrt{10} + 1)$ $(sqrt10 + 1)(8sqrt10 +1)$ ?

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How do you multiply $(\sqrt{10} + 1) (8 \sqrt{10} + 1)$ $(sqrt10 + 1)(8sqrt10 +1)$ ?

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Answer 1 · 2015-06-12T16:38:11

$= 81 + 9 \sqrt{10}$ $= color(blue)(81 +9sqrt10)$

Explanation:

$(\sqrt{10} + 1) (8 \sqrt{10} + 1)$ $(sqrt10 + 1)(8sqrt10 +1)$

$= (\sqrt{10} . 8 \sqrt{10}) + (\sqrt{10} .1) + (1.8 \sqrt{10}) + (1.1)$ $=color(blue)((sqrt10 . 8sqrt10) + (sqrt(10).1)) + color(red)((1 . 8sqrt10) + (1.1))$
$= 80 + \sqrt{10} + 8 \sqrt{10} + 1$ $= color(blue)(80 +sqrt10) + color(red)(8sqrt10 +1$

Grouping like terms:
$80 + 1 + \sqrt{10} + 8 \sqrt{10}$ $color(blue)(80 +1) + color(red)(sqrt10 +8sqrt10)$
$= 81 + 9 \sqrt{10}$ $= color(blue)(81 +9sqrt10)$

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How do you multiply $(\sqrt{10} + 1) (8 \sqrt{10} + 1)$ $(sqrt10 + 1)(8sqrt10 +1)$ ?

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