Question

Combine the radicals. 3√5-8√5+2√5

Answer 1

Answer:
`-3√(5)`

-3 times the square root of 5

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Step-by-step explanation:

Let
`x = √(5)`

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

`3√(5)-8√(5)+2√(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√(5)`

Meaning that,

`3x-8x+2x = -3x`

`3√(5)-8√(5)+2√(5) = -3√(5)`