Question

prove that root 5 is irrational​

Answer 1

Answer:

yes

Step-by-step explanation:

value of root 5 when expanded are non terminating and non recurring .so root 5 is irrational

Answer 2

Answer:

let us assume that √5 is irrational

√5 = p/q, q not equal to 0.

squaring on both sides

(√5)^2 = (p/q)^2

5 = p^2/q^2

by cross multiplication

p^2 = 5q^2.......1

1as assume K.

p^2 is multiple of 5

p is multiple of 5

5^2k^2 = 5q^2

5k^2 = q^2

q^2 is multiple of 5

q is multiple of 5

therefore ( p,q ) =5

our assume is wrong

so, √5 is irrational.