Question

show that 3+√5 is an irrational number​

Answer 1

Step-by-step explanation:

By adding 3+√5, we get 5.2360.... which is an irrational number.

Answer 2

Answer:

Given - 3 + √5

To prove - it is an irrational no.

solution -

Let assume that it is a rational no.

3 + √5 = p/q , where p and q are co primes

√5 = p -3/ 3q

Rational is not equal to irrational. √5 is an irrational no. and p- 3/ 3q is a rational no.

our assumption is wrong 3 + √5 is an irrational no.

hence, proved