Question

How to simplify: 3√2x + x√8x - 5√18x
I believe the first one can't be simplified further, but I'm not sure about the rest.

Answer 1

\[\Large x\sqrt{8x}\]

\[\Large x\sqrt{4*2x}\]

\[\Large x\sqrt{4}*\sqrt{2x}\]

\[\Large x*2*\sqrt{2x}\]

\[\Large 2x\sqrt{2x}\]

Answer 2

so \[\Large x\sqrt{8x}\] simplifies to \[\Large 2x\sqrt{2x}\]

Answer 3

do the same for \[\Large -5\sqrt{18x}\]

Answer 4

√18x = √9 * 2x = √9 * √2x = -5 * 3 √2x = -15√2x
-5 -15√2x
-20√2x
?

Answer 5

good, \[\Large -5\sqrt{18x}\] simplifies to \[\Large -15\sqrt{2x}\]

Answer 6

so

\[\Large 3\sqrt{2x}+x\sqrt{8x}-5\sqrt{18x}\]

turns into

\[\Large 3\sqrt{2x}+2x\sqrt{2x}-15\sqrt{2x}\]

Now combine like terms to get

\[\Large -12\sqrt{2x}+2x\sqrt{2x}\]

and optionally you can factor out \(\large \sqrt{2x}\) to get

\[\Large (-12+2x)\sqrt{2x}\]

Answer 7

Thanks so much for all of your help!

Answer 8

yw

Answer 9

Oh wait, so it isn't -20 it's just -15? Do you not count the 5 in the beginning?

Answer 10

what 5 in the beginning?

Answer 11

the 5 on \[\Large -5\sqrt{18x}\] ?

Answer 12

Yes.

Answer 13

yeah I accounted for that

Answer 14

\[\Large -5\sqrt{18x}\]


\[\Large -5\sqrt{9*2x}\]


\[\Large -5\sqrt{9}*\sqrt{2x}\]


\[\Large -5*3*\sqrt{2x}\]


\[\Large -15\sqrt{2x}\]

Answer 15

\[\Large -5\sqrt{18x}\] simplifies to \[\Large -15\sqrt{2x}\]

Answer 16

Oh okay, I get what you're saying. Thank you! :)

Answer 17

sure thing