Question

prove that 2√5 is irrational​

Answer 1

Answer:

A rational number can be written in the form of p/q where p,q are integers. p,q are integers then (p²-7q²)/2q is a rational number. ... √2+√5 is an irrational number. Hence proved......

Answer 2

Step-by-step explanation:

2√5 is irrational

let us assume that 2√5 is rational

2√5=p/q (q is not equal to 0, HCF(p,q)=1)

(2√5)^2=(p/q)^2

√5=p²/4q²

we know that√5 is irrational but p²/4q² is rational

hence our assumption is wrong and2√5 is irrational