Question

Prove that 2root3+root5 is irrational

Answer 1

Since rule says that addition of irrational and irrational is always irrational.
Therefore it is irrational.
You have to write only this much

Answer 2

Hey there :-

Question :- "Prove that 2root3+root5 is irrational"

Solution :-

2√3+√5



As √3 = ‎ ‎1.73205080756887......

and √5= 2.23606797749978969....

So , √3, √5 are irrational

So 2√3+√5 is also irrational


================

Lets consider

√3= 1.73.....

√5=2.23....

Terminating to 2 places

So 2√3+√5

=2(1.73..)+2.23

=3.46..+ 2.23...

=5.69......

So ,5.69 ...... is irrational


hope helped!