Question

Multiply

(sqrt2)(-2sqrt2 +3)

Answer 1

\[(\sqrt2)(-2\sqrt2 +3)\]

Answer 2

-4+sqrt(2)*3

Answer 3

approx equivalent to 0.243

Answer 4

\[so \it should look like -4+\sqrt(2)*3 ?\]

Answer 5

yeah, would you like some more detail?

Answer 6

If you could please =)

Answer 7

& should the sqrt go all the way across, or just across the (2)?

Answer 8

Just distribute it out:
\[\sqrt{2}(-2\sqrt{2} + 3)\]\[=-2(\sqrt{2})(\sqrt{2}) + 3\sqrt{2}\]
\[=-2(\sqrt{2(2)}) + 3 \sqrt{2}\]\[=-2(\sqrt{4}) + 3\sqrt{2}\]\[=-2(2) + 3\sqrt{2}\]\[= -4 + 3\sqrt{2}\]

Answer 9

cool, step one is distribution so you've got sqrt(2) * (-2) * sqrt(2)

Answer 10

sqrt(2) * sqrt(2) = 2
so the first distribution is is equal to -4, agreed?

Answer 11

second distribution is sqrt(2) * 3, this unfortunately can't be simplified any further :-(

Answer 12

agreed!

Answer 13

so final answer is -4 + sort(2)*3

Answer 14

why are yours and Polpak's answers different?

Answer 15

Because he put the 3 on the end, rather than on the beginning.

Answer 16

\(3\sqrt{2} = 3*\sqrt{2} = \sqrt{2}* 3\)

Answer 17

multiplication is commutative.

Answer 18

I think the law is called commutative? A*B = B*A

Answer 19

Nice Polpak, good call!

Answer 20

so it's suppose to be -4+3sqrt2 ?

Answer 21

'suppose to be' is sorta whatever you want. It's the same thing.

Answer 22

it can be either, good luck. give me a shout if you have another question :-)

Answer 23

stion
polpak i need your help take a look at my question

Answer 24

you can write it a lot of different ways. If it were me, I'd write it as:

\[3\sqrt{2} - 4\]

Since I prefer to have a positive leading coefficient whenever possible.

Answer 25

But it's all the same number.