Question

what is the simplified form of the expression

Answer 1

\[6\sqrt{v}-\sqrt{4v^2}-\sqrt{36v}+\sqrt{v^2}\]

Answer 2

can you simplify\[\sqrt{v^2}\]?

Answer 3

yea to v

Answer 4

Great how about \[\sqrt{4v^2}\]?

Answer 5

yea to v again @hea

Answer 6

No. What is the \(\sqrt 4\)?

Answer 7

2

Answer 8

Good. When you see a square root with two different things underneath they can be split.\[\sqrt{4v^2} = \sqrt{4}\sqrt{v^2} = 2v\]Does that make sense?

Answer 9

yea

Answer 10

Ok, back to your original equation\[6 \sqrt v - \sqrt{4v^2} + \sqrt{36 v} + \sqrt{v^2}\]We have already simplified term 2 and 4. Term 1 (\(6\sqrt v\))is already simplified. So all that is left is the third term.\[\sqrt{36 v}\]Any ideas? Use the same principle as before.

Answer 11

Sorry got a sign wrong.\[6 \sqrt v - \sqrt{4v^2} - \sqrt{36 v} + \sqrt{v^2}\]

Answer 12

6v

Answer 13

the answer i got is 6v^2

Answer 14

Not quite. \[\sqrt{36v} = \sqrt{36}\sqrt{v}\]What is the square root of 36?

Answer 15

6

Answer 16

Yep, we can't simplify \(\sqrt v\) any more so we leave that as is. We have now simplified every term. What do we have so far?

Answer 17

\[v \sqrt{v}\]

Answer 18

No. we have \[6 \sqrt v - 2v - 6\sqrt{v} + v\]

Answer 19

Which when we simplify becomes \(-v\)

Answer 20

oooooo

Answer 21

so thats the answer?

Answer 22

yeah

Answer 23

ok thnx!