ulyTy. Also show thaProve that 5 2v/3 is irrational.

1.	ulyTy. Also show thaProve that 5 2v/3 is irrational.
Answer» let, 5 - 2√3 be a rational number. .°. 5 - 2√3 = p/q [ where p and q are integer , q ≠ 0 and q and p are co- prime number ] => - 2√3 = p/q -5 =>- 2√3 = p - 5q / q => √3 = p - 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 Like my answer if you find it useful!

Answer»

let,

5 - 2√3 be a rational number.

.°. 5 - 2√3 = p/q [ where p and q are integer , q ≠ 0 and q and p are co- prime number ]

=> - 2√3 = p/q -5

=>- 2√3 = p - 5q / q

=> √3 = p - 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

Like my answer if you find it useful!

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