Prove that `root3(2+sqrt(5))+root3(2-sqrt(5)` is a rational number.

Prove that root(3)(2+sqrt(5))+root(3)(2-sqrt(5)) is a rational number.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt 3+ sqrt5)(2sqrt 3- sqrt5) is rational or irrational.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt3+sqrt5)(2sqrt3-sqrt5) is rational or irrational.

root(3)(2)times sqrt(5)

The square root of 3+sqrt(5) is

The value of log_(2)(root(3)(2+sqrt(5))+root(3)(2-sqrt(5))) is equal to