How do you simplify $(7sqrt6+3sqrt7)(8sqrt6-9sqrt7)$ ?

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Answer 1 · 2018-05-20T16:05:03

$color(crimson)(=> 3 (49 - 13 sqrt42)$

$(7sqrt6 +.3 sqrt7) (8sqrt6 - 9sqrt7)$

$=> 56*6 + 24 sqrt42 - 63 sqrt42 - 27*7$

$=> 336 - 39 sqrt42 - 189$

$=> 147 - 39 sqrt42$

$color(crimson)(=> 3 (49 - 13 sqrt42)$

How do you simplify (7sqrt6+3sqrt7)(8sqrt6-9sqrt7)(7sqrt6+3sqrt7)(8sqrt6-9sqrt7)?