Question

root 7 is a irrational no ​

Answer 1

Answer:

yes ,root 7 is an irrational number

Answer 2

Step-by-step explanation:

assuming root7 to be rational

therefore root 7 can be represented as p/q where p and q are positive integers and they are co-prime

by Euclid division lemma

root 7 = p/q

(on squaring Bothsides)

7= p² / q²

p² = 7q²

therefore 7 divide q²

by fundamental theorem of arithmetic

7divides q

Also 7 divide p²

similarly

7 divides p

hence p and q are not co-prime and our assumption is wrong

thus by the method of contradiction it is proved that root 7 is irrational

hope this helped