Question

Please please help <3
Nakim simplified 3√2x+x√8x-5√18x got -10x√2x for an answer.

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

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

Answer 1

first let's simplify the expression
\[3 \sqrt(2x)+x \sqrt(8x)-5 \sqrt(18x)\]
8=2^2*2
18=3^2*2
so
the expression is now
\[3 \sqrt(2x)+x \sqrt(4*2x)-5 \sqrt(9*2x)\]

\[=\sqrt(2x)+2x \sqrt(2x)-15\sqrt(2x)\]
Part A: nakim would have missed the x in the middle term, and had combined all to get -10 sqrt(2x)
but the solution is

2 sqrt(2x)(x-6)

Answer 2

2 (sqrt(2x))(x-6)