Question

express 4 as a sum of two irrational numbers

Answer 1

Actually, I think it can’t be written as a sum of two irrational numbers as it is a square of 2. Seriously, it could not!

Answer 2

Hey mate,
That's a tricky question. I'll try my best to make it simple for you.

◆ Irrational numbers-
- An Irrational Number is a real number that cannot be written as a simple fraction.

◆ 4 as sum of irrational numbers-
Pi (π) is irrational number as it can't be written as fraction of two integers.
π = 3.1415926......

Sum of rational and irrational numbers is always irrational, therefore 4-π must be irrational number.

Taking, a = π & b = 4-π ,
a + b = π + 4 - π = 4

Therefore, 4 can written as sum of irrational numbers π & 4-π .

Hope it helps...