Question

Sqrt x^2 + y^5

Answer 1

\[\sqrt{x^2+y^5}\]

Answer 2

How so not one of those who just want answer want to learn as well =p

Answer 3

I understand \[\sqrt{x ^{2}}\] is just x, the Y is where I am lost

Answer 4

Lol. @cronus8992 You must be watch out for people who think they know the answer btw :P Might get bad info.

Answer 5

I didn't say you were wrong. I was informing him/her because she/he is new.

Answer 6

Yes, that is why I like it explained also because I simply do not understand the process and I do not just want the answer to get the homework done.

Could someone show me the process for the Y portion detailed so I can better understand how to do this sort of problem.

Answer 7

The process for what? There is no problem posed here, you just stated an expression, sqrt(x^2 + y^2). We don't know what you're supposed to do with it.

Answer 8

No the problem is \[\sqrt{x^2+y^5}\] now I know it is \[\sqrt{x^2} + \sqrt{y^5}\] and the \[\sqrt{x^2}\] is just X. What I do not know how to break down is the \[\sqrt{y^5}\]

Answer 9

how would you break down
\[\sqrt{12}\]

Answer 10

\[\sqrt{2}*\sqrt{2}*\sqrt{3}\]

Answer 11

Lol.

Answer 12

would be \[2\sqrt{3}\] so you pulled out a pair of 2's correct

Answer 13

yes

Answer 14

so if you break down \[\sqrt{y ^{^{5}}}\] what happens
\[\sqrt{y*y*y*y*y}\]

Answer 15

so 2 groups of Y's with 1 left over

Answer 16

yep :)

Answer 17

just as we did with square root of 12

Answer 18

and that would be written \[x + 2\sqrt{y}\] ?

Answer 19

i believe its \[x+y ^{4}\sqrt{y}\]

Answer 20

\[\sqrt{a+b} \neq \sqrt{a}+ \sqrt{b}\]

Answer 21

sorry would be \[x+y^2\sqrt{y}\]

Answer 22

You cannot break up the square root of a sum into the sums of the square root!!!

Answer 23

Yeah that answers not correct =(

Answer 24

@cronus8992 that expression \[\sqrt{x^{2}+y^{5}}\] CAN NOT be split any further.

Answer 25

It has to be becuase the problem is still wrong when i type it in that way, like \[\sqrt{x^2+y^2}\] is written as \[(x+y)^{1/2}\]

Answer 26

Yes that true.

Answer 27

When I type in the problem in my homework how you are telling me it can not be broke down, it is saying it is wrong and there is another way to break it down

Answer 28

Another way? There is no other way, are you sure you aren't supposed to multiply those variables?

Answer 29

I am sure the problem says:

Rewrite the expression using rational exponents. (Simplify your answer completely.)

Answer 30

Ok look at the question again and tell what it says?

Answer 31

To rewrite this expression \[\sqrt{x^2 + y^5}\] as a rational expression.

The best I could think of was \[x + y ^{5/2}\]

Answer 32

That's wrong sir, its \[(x^{2}+y^{5})^{\frac{ 1 }{ 2 }}\]

Answer 33

Its a violation of exponent rules to multiply the 1/2 with the powers inside if the bases are been added.

Answer 34

OK becuase the two vairables are being added you can not do them seperate right?

Answer 35

Yes that's right.

Answer 36

ok cool same with subtraction. Thank you so much

Answer 37

Yes same with subtraction. http://www.mathsisfun.com/algebra/exponent-laws.html
Laws of exponents.

Answer 38

thank you so much