Question

Combine the radicals. 3√5-8√5+2√5

Answer 1

Answer:  $-3\sqrt{5}$

-3 times the square root of 5

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Explanation:

Let $x = \sqrt{5}$

Replace all the root 5 terms with x and we go from

$3\sqrt{5}-8\sqrt{5}+2\sqrt{5}$

to

$3x-8x+2x$

From here, combine like terms to get

$3x-8x+2x = -5x+2x = -3x$

and the last thing to do is replace the x with sqrt(5)

$-3x = -3\sqrt{5}$

Meaning that,

$3x-8x+2x = -3x$

$3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}$