Question

Given that √2 is irrational,Prove that(5+3√2) is an irrational
plzzz do it step by step ..​

Answer 1

Answer:

to prove that (5+3√2) is an irrational number

let us assum that (5+3√2) is a rational number

1. 5+3√2= a/b
2. 3√2=a/b-5
3. 3√2=a-5b/b
4. √2=a-5b/3b

• here a,b are any Integers a-5b/3b are rational number but√2 is an irrational
• so were assumption is 5+3√2 is a rational number is wrong
• hence 5+3√2 is an irrational number

Answer 2

Hope it helps you...........................