Question

prove that 1/3-√5 be a irrational number​

Answer 1

Step-by-step explanation:

we know that 2√5 is irrational

let root 1/3 - 2√5 be of the form p/q where p and q are not equal to 0

1/3 - 2√5 =p/q

-2√5 =p/q - 1/3

2√5 = 1/3 - p/q

2√5 = q - 3p/3q

√5 = q - 3p/6q

hence , √5 should be rational from the above eq.

but we know that √5 is irrational

soo our assumption is wrong

1/3 - 2√5 is irrational....

Answer 2

Step-by-step explanation:

here is ur answer Hope it's help☺