help me sqrt(5+2sqrt6)+sqrt(8-2sqrt5)

Question

anonymous · Answer

simplify it

anonymous · Answer

$$\LARGE \sqrt{5+2\sqrt6}+\sqrt{8-2\sqrt5}$$

anonymous · Answer

yes this is the problem

anonymous · Answer

I can't simplify it any further...

experimentx · Answer

Try rationalizing it.

anonymous · Answer

i tried but how experiment x can u give me some hint

anonymous · Answer

i don't think you can do a thing with the second term

experimentx · Answer

Oh ...

anonymous · Answer

the first one is not too bad since 
$$5+2\sqrt{6}=2+2\sqrt{6}+3=(\sqrt{2}+\sqrt{3})^2$$ meaning 
$$\sqrt{5+2\sqrt{6}}=\sqrt{2}+\sqrt{3}$$ maybe there is a similar trick for the second one i don't see it yet

anonymous · Answer

here is the sol. that i got from bagatrix

anonymous · Answer

can any1 explain me this ?

anonymous · Answer

something goofy in this solution.

anonymous · Answer

@anhkhoavo1210   i don't think so

anonymous · Answer

sr i deleted it :D wait for 5 minutes

anonymous · Answer

what is ? and i assume there is typesetting problem because i one line i see $\sqrt{8-25}$ which must be something else, maybe $\sqrt{8-2\sqrt{5}}$

anonymous · Answer

yes i am thinking the same for hours is this a wrong question

anonymous · Answer

i think it must be $$8 - 2\sqrt 15$$ :)

anonymous · Answer

$$\sqrt {15}$$

anonymous · Answer

i can't get it. i got 
$$(\sqrt{5}-1)^2=6-2\sqrt{5}$$ but i am not getting it with the 8

anonymous · Answer

could it be with fractions something? o.O

experimentx · Answer

http://www.wolframalpha.com/input/?i=sqrt%285%2B2sqrt%286%29%29+%2B+sqrt%288-2sqrt%285%29%29+%3D+sqrt%287%29+%2B+sqrt%286%29

anonymous · Answer

ok first of all that solution is wrong, you can check by a calculator

anonymous · Answer

or by experimentx link

anonymous · Answer

thanks for proving it false experiment atleast 1 soln is false. now what is the true result ?

anonymous · Answer

the given MUST be wrong...  (I think..)

anonymous · Answer

so forget that solution typos and all 
i cannot see what to do with this

mertsj · Answer

The only thing I can see is what satellite said for the first term and then for the second one:
$$\sqrt{8-2\sqrt{5}}=\sqrt{2(4-\sqrt{5)}}=\sqrt{2}\sqrt{4-\sqrt{5}}$$
but what good is that?   None

phi · Answer

here is the sol. that i got from bagatrix 

If you evaluate the answer sqrt(7)+sqrt(6) you see it does not match the original expression.

angela210793 · Answer

I don't think so either....:P i think i might  have multiplied the numbers in bracket forgetting the squre roots :S