Question

http://prntscr.com/acr49i

Answer 1

Just substitute 6 into your x's

Answer 2

it comes out to this http://prntscr.com/acrfxs

Answer 3

@FortyTheRapper

Answer 4

Hi Brains,

Just like live said, lets plug in 6.

So what is 6 + 19?

Answer 5

25

Answer 6

Right. There's a square root sign under that, so we need to do sqrt(25)

Answer 7

sqrt(25) = 5

Answer 8

Great! So now we got

(3 + 5 ) - sqrt(2x)

Now we can add the 3 and 5

8 - sqrt(2x)

Lets plug in 6 for X again

Answer 9

so it'd be 2*6 = 12, right?

Answer 10

Right, sqrt(12). But that's not a perfect square, so let's simplify it.

Can you think of two numbers that multiply to 12, where one of them is a perfect square?

Answer 11

How would we be able to tell it's a perfect square

Answer 12

By multiplying a number by itself.

25 is a perfect square because 5 times 5
49 because 7 times 7

So for this example if we did 2 times 6, that equals 12, but we can't find sqrt(2) or sqrt(6) without a calculator

Answer 13

What if we tried 4 times 3

Answer 14

for me the answer is 2

Answer 15

4*3=12

Answer 16

Right
Do you know the sqrt(4) or sqrt(3)?

Answer 17

Sorry I keep responding late.
4=2
3=??

Answer 18

No problem

And exactly correct

So since 4*3 = 12, then

Sqrt(4) times sqrt(3) = sqrt(12)

But you found sqrt(4) to be 2, so

2sqrt(3) is the simplified. See how that is?

Answer 19

Yes. Okay, so now what?

Answer 20

That was the second part

Previously, we found that

8 - sqrt(12)

Now that we have that sqrt(12) is 2(sqrt 3), we can replace it and get

8 - 2(sqrt 3)

Answer 21

So the answer would be A?

Answer 22

Oh wow, I didn't even know it had answer choices xD!!!!!

I would so it like this. The square root of 12 is between what two perfect squares? 9 and 16.

3 times 3 and 4 times 4.

That means the sqrt(12) is between 3 and 4.

So 8 - 3 is 5
And 8-4 is 4

The answer is between 4 and 5, so I agree with you

Answer 23

Omg. Okay, thanks so much Forty! <3

Answer 24

Anytime!