I need to Simplify and Calculate the Expression.

[thechicinnovation]

Can someone please help me simplify the expression?
√((√(x)-1)/(x+√(x)+1)÷(1)/(x√(x)-1))+√(x)

 

[Deleted member 4993]

Can someone please help me simplify the expression?
√((√(x)-1)/(x+√(x)+1)÷(1)/(x√(x)-1))+√(x)

First perform the division under the major square-root sign. Then simplify the numerator - and continue...

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

 

[thechicinnovation]

Didn't Work

First perform the division under the major square-root sign. Then simplify the numerator - and continue...

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you.

To undo division, I multiply. However, I don't end up with anything smaller, or that I could reduce...

 

[Deleted member 4993]

To undo division, I multiply. However, I don't end up with anything smaller, or that I could reduce...

Please show us - what do you end-up with?

 

[thechicinnovation]

Nevermind

I got it! Thank you!

Please show us - what do you end-up with?

 

[thechicinnovation]

Capish... really?

Well, why don't you show your work in solving it:
it may help another student...capish?

well, here it is:
After I undid the division by doing multiplication, I factored

into

, thus canceling out

from the denominator of the first fraction and the numerator of the second one. Now, I am left with

. I then canceled out the square and the square root. I was just left with

. I added the two square roots together to receive my final answer:

.