Question

Please help, I am so confused! I need to find the simplest form of the expression: sqrt 2 - sqrt 10 / sqrt 2 + sqrt 10

Answer 1

\[\sqrt 2 - \sqrt 10 / \sqrt 2 + \sqrt 10=\sqrt 2 - \sqrt (10/2) + \sqrt 10\]

Then,
sqrt 2 - sqrt (10/2) + sqrt 10=sqrt 2 - sqrt 5 + sqrt 10

Answer 2

I'd regard this to be an adequate answer. Can't simplify it any further. Questions?

Answer 3

So that equals 2.3404? I need to come up with one of the following answers:
A.-3/2+1/4 sqrt10
B.-3/2+1/2sqrt5
C. 1-1/3sqrt5
D. 1+1/2sqrt5

Answer 4

Not sure what I am doing wrong here...

Answer 5

Please stick with those radicals. If you evaluate them with your calculator, none are going to match your four answer options.

Answer 6

Same here: I'm not sure what I'm overlooking! You might want to try reviwing the original question so you can be certain you copied it correctly.

You could also post this as a separate, new question:

How might the following expression be simplified further? Sqrt(2) -Sqrt(5) + Sqrt(10).

Wish i could help more, but I cannot do that at this point.

Answer 7

ok thanks for trying (=