Question

2×√(5+√(3÷2×√(5−√(3))+2×√(5−√(3÷2×√(5+√(3= a +root 15 b

Answer 1

Answer: a= 2 root(5+ root(3 root[5-root(3)])/2) + 2 root(5-root(3 root[5-root(3)])/2)-b root(15)

b= root 15 [  2 root(5+ root(3 root[5-root(3)])/2) + 2 root(5-root(3 root[5-root(3)])/2)-a  ]/15

Step-by-step explanation: Challenge Accepted

There is no way to easily find the answer without using a calculator, but it can be "simplified" a bit to

2 root(5+ root(3 root[5-root(3)])/2) + 2 root(5-root(3 root[5-root(3)])/2)=a+b root(15)

Then you isolate one of the variables to get whatever is in the answer up there

While getting b you have to divide by root(15) on both sides but you must rationalize on the big side by multiplying by root(15)/root(15)

It was quite a challenge to do by hand :)

Answer 2

Answer:

Step-by-step explanation: