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.

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

Answer 1

help please :(

Answer 2

\[3\sqrt{2x} + x \sqrt{8x} -5\sqrt{18x} \neq -10x \sqrt{2x}\]

Note that one term has a xsqrt(8x) while the other terms don't have it.

that term was originally \[\sqrt{8x ^{2}x}\]

Answer 3

so what did he do wrong?

Answer 4

As for the correct solution.. I will get to the last step.\[3\sqrt{2x} + x \sqrt{4 \times 2x} - 5\sqrt{9 \times 2x}\]

than you get \[3\sqrt{2x} + 4x \sqrt{2x} - 5(3)\sqrt{2x}\]

Answer 5

I pointed out the mistake you have to explain it.

Answer 6

Is x^2 the same as x ?

Answer 7

2x?

Answer 8

excuse me.. Did you try to do the full solution? Take it from where I stopped.

Answer 9

alright hold on I'm doing it

Answer 10

I have no clue :(

Answer 11

alright pay close attention pretend \[\sqrt{2x} = y\]

so now we get this \[3y + 4xy - 15y\]

can you simplify this.

Answer 12

common dude lets go step it up!!

Answer 13

-12y+4xy

Answer 14

Alright can you factor a y?

Answer 15

can you factor a 4?

Answer 16

how do i do that?

Answer 17

just divide both expressions by 4y

Answer 18

-3y+x?

Answer 19

\[4y(x-3)\]

Answer 20

so is that the answer?

Answer 21

Yea dude just substitute the sqrt(2x) back for y

Answer 22

thanks dude

Answer 23

yw =))