Question

@mathmale Hello! I had tried to ask someone else this question earlier but them didn't really explain it and I got more confused. I'm trying to do multiplication with square roots and variables. I will put up the equation, thank you if you can help(:

Answer 1

Hello, N! I have time for one quick question. Go ahead.

Answer 2

\[\sqrt{7x}\left( \sqrt{x} - 7\sqrt{7}\right) \]

Answer 3

Oops *they :P

Answer 4

What I'll do is to give you a quick review. But first, why the "oooops"?

Answer 5

I had put "them" not "they" in the question ha

Answer 6

\[\sqrt{7}\sqrt{7}=7,\sqrt{x}\sqrt{x}=x.\]

Answer 7

\[\sqrt{7x)}=\sqrt{7}\sqrt{x}\]

Answer 8

So, multiplying the first term within the parentheses by Sqrt(7x) is equivalent to multiplying it by Sqrt (7)*Sqrt(x). yOU OK WITH THAT?

Answer 9

Yes, I believe so.

Answer 10

\[\sqrt{7x}(\sqrt{x})=\sqrt{7}\sqrt{x}*\sqrt{x})=\sqrt{7}x\]

Answer 11

How would you multiply the SECOND term within the parentheses by Sqrt(7x)? Please do this quickly on paper and then let me know your result.

Answer 12

I think i would be; \[-7\sqrt{49x}\] ?

Answer 13

If I were you I'd do this:\[\sqrt{7}\sqrt{x}*7*\sqrt{7}. Bet .you.can.finish.this.\]

Answer 14

Try finishing mine; then compare our results.

Answer 15

\[7\sqrt{49x}\] ??

Answer 16

Please explain why that 49 goes under the radical sign.

Answer 17

\[49\sqrt{x}\]
Better?

Answer 18

Much better. Actually, your answer is correct, except that it has not been reduced.

Answer 19

So, your final result for the entire problem?

Answer 20

What do I reduce it by?

Answer 21

I don't think you need to reduce, not if you mean to reduce the entire answer.

Answer 22

I don't know :/

Answer 23

We started off with a problem that looked like a(b-c).

First we multiplied the first term inside parentheses by a. Then we mult. the 2nd term inside par. by a.

Now we need to combine the 2 products.

The second product is the one we just got: -49Sqrt(x)

If you'll go back to near the beginning you'll find the 1st product. (It's Sqrt(7) * x )

Answer 24

Please write out the final solution now.

Answer 25

\[\sqrt{7x} - 49\sqrt{x}\]

Answer 26

Correct, EXCEPT that that first x should not be under the radical. Mind re-typing this for verification?

Answer 27

\[\sqrt{7} x - 49\sqrt{x}\]

Answer 28

Too nice for words!
I need to quit. So glad to see you.

Answer 29

Have a good night! Thank you! (:

Answer 30

My pleasure! Ditto. :)