Question

Prove that 2 - V3 is an irrational number.
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Answer 1

Step-by-step explanation:

so if √2 + √3 is rational, then so is √6. Now the left side is divisible by 2, so 3b^2 is divisible by 2, from which it follows that b is divisible by 2. However, this would mean that 2 divides gcd (a,b) = 1. ... Therefore √6 is irrational, and therefore √2 + √3 is irrational also.

Answer 2

Answer:

Step-by-step explanation:let2-root3 i rational number

So it is in the form of p/q

2-root3=p/q

Root3=p-2q/q

Hence

Irrational =rational

Which is not possible since our assumption is wrong it is not a rational no ti is irrational number