Question

Prove that 5- 2root3 is irrational its urgent plzz do it i will mark u as brainliest and will follow u......................

Answer 1

Answer:

Hey mate!! Here is the proof.

Step-by-step explanation:

Let,  5 - 2√3 be a rational number.

Therefore, 5 - 2√3 = $\frac{P}{Q}$[ where p and q are integer , q ≠ 0 and q and p are co- prime number ]

=> - 2√3 = $\frac{P}{Q}$ -5

=>- 2√3 = p - $\frac{5Q}{Q}$

=> √3 = p -   $\frac{5Q}{-2Q}$

We know that p/q is a rational number.

.°. √3 is also a rational number.

This contradicts our assumption

5 - 2√3 is an irrational number

Answer 2

Answer:

5-2√3 is an Irrational number.