Nakim simplified 3 times the square root of 2x plus x times the square root of 8x minus 5 times the square root of 18x and got -10x times the square root of 2x for an answer.

Part 1: Using complete sentences, explain what Nakim did wrong.

Part 2: Show all your work to simplify the expression.

(You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a). )

1 answer

3√2x + x√8x - 5√18x
3√2x + 2x√2x - 15√2x

I think there are some typos involving a missing "x"

However, if you meant

3x√2x + x√8x - 5x√18x

then you get

3x√2x + 2x√2x - 15x√2x = -10x√2x
so I don't see the error.