Question

prove that 3√2by 5 is a irrational number​

Answer 1

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• 3√2/5 is no

${\sf{\green{\underline{\large{To\:prove}}}}}$

• It is irrational

${\sf{\pink{\underline{\Large{Explanation}}}}}$

Let 3√2/5 is a rational no

Then

it must be exsist in a/b where b. is not equal to 0

3√2/5=a/b

=>3√2/5=a/b

=>3√2=5a/b

=>√2 = 5a/2b

Here 5a/2b is a rational no therefore √2 be also rational

• But we know that √2 is a irrational no

• So our assumption is wronge

• Therefore 3√2/5 is a irrational no