Question

prove that 3+ root2, 5+root2 and 3+5root2 are irrational numbers.​

Answer 1

Step-by-step explanation:

3+ √2 , 5 +√2 , 3+5√2 are Irrational Numbers whose proof is given below :-

Proof No. (1) we know that  √2 = 1.414....... is Irrational.

Then, 3+√2 =  3+1.414...... = 4.414......(Irrational)

5+√2 = 5+1.414..... = 6.414.....(Irrational)

3+5√2 = 3+5 x 1.414...... =  3+7.07..... = 10.07.......(Irrational)

Proof No. (2) According to The addition of Rational and Irrational, Sum of an Rational and Irrational is always an Irrational.so, According to that all the equations are Irrational.

I m very happy to help you out. Take some time to Mark it as The BRAINLIEST Answer If it helps And That would really make Me Happy and My explaination successful ! Have A good Day Buddy :)

Answer 2

plz refer to this attachment