How do you simplify $(12 \sqrt{5} - 7 \sqrt{7}) + (6 \sqrt{5} - 7 \sqrt{7})$ $(12sqrt5-7sqrt7)+(6sqrt5-7sqrt7)$ ?

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Answer 1 · 2018-07-09T16:16:50

$18 \sqrt{5} - 14 \sqrt{7}$ $18sqrt5-14sqrt7$

The parenthesis are unnecessary, thus we have

$12 \sqrt{5} - 7 \sqrt{7} + 6 \sqrt{5} - 7 \sqrt{7}$ $color(purple)(12sqrt5)color(steelblue)(-7sqrt7)+color(purple)(6sqrt5)color(steelblue)(-7sqrt7)$

Next, we can combine like terms to get

$18 \sqrt{5} - 14 \sqrt{7}$ $18sqrt5-14sqrt7$

Since our radicals have no perfect squares in them, we are done!

Hope this helps!

How do you simplify (12√5−7√7)+(6√5−7√7)(12sqrt5-7sqrt7)+(6sqrt5-7sqrt7)?