Question

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.

Answer 1

I don't understand what to do to explain what he did wrong

Answer 2

lets see if we can actually write it

Answer 3

\[3\sqrt{2x}+x\sqrt{8x}-5\sqrt{18x}\] is that the original expression?

Answer 4

Yes that is the original expression

Answer 5

ok so lets see what we can do with it, and maybe we will see why the
answer of \(-10\sqrt{2x}\) is wrong

Answer 6

\(\sqrt{8x}=\sqrt{4\times 2x}=\sqrt{4}\times \sqrt{2x}=2\sqrt{2x}\)
similarly \(\sqrt{18x}=3\sqrt{2x}\)

Answer 7

therefore
\[3\sqrt{2x}+x\sqrt{8x}-5\sqrt{18x}\]
\[=3\sqrt{2x}+2x\sqrt{2x}-15\sqrt{2x}\]

Answer 8

well Nakim is just an idiot, that is all
first of all what parent names their kid "nakim"? so he/she is not responsible, probably just bad genes

Answer 9

in any case if you combine like terms, you will get
\[-12\sqrt{2x}+2x\sqrt{2x}\]

Answer 10

because the like terms are \(3\sqrt{2x}\) and \(-15\sqrt{12}\)
not the \(2x\sqrt{2x}\)

Answer 11

haha I thought the same thing about the name!
thank you very much!! you have help me a ton