Question

(17) Prove that 5√3 - 2 is an irrational.​

Answer 1

let us assume that

$\sqrt{3b - 2 \: is \: ratinal}$

Answer 2

Answer:

√3 is irrational.and hence 5√3-2is also irrational.

Step-by-step explanation:

LET US ASSUME THAT √3 IS A RATIONAL NO.

THEREFORE,

=> 5√3-2 = a / b ( where a & b are Co prime no.s )

=> √3 = a+2 / 5 b

HENCE OUR CONTRADICTION THAT √3 WAS RATIONAL WAS WRONG..

AND a & b ARE NOT CO PRIME NO.S

THEREFORE √3 IS IRRATIONAL AND

5√3-2 IS ALSO IRRATIONAL..

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