Question

Prove that root 3 by 5 root 2 is irrational

Answer 1

Answer:

We can prove this by using the fact that √5 is irrational. Any number which can be written as a fraction of integers is called a rational number, otherwise it is called an irrational number. Let us assume that 3+2√5 is rational. ... So 3+2√5 = a/b where a,b are integers and are co primes and b is not equal to 0.

Answer 2

Step-by-step explanation:

3+5root 2 let 3+5root2 is a rational and have only common factor let 3+5root2 is equal to a upon b 5 root 2 is equal to a-3b upon b if a-3b upon b is rational so 5root 2 is also rational but it is no possible it is contradiction to our assumption so 3+5root 2 is irrationl