Question

is root 7 a rational or irrational with solution​

Answer 1

Answer:

Root 7 is an irrational number

Answer 2

Answer:

Irrational

Step-by-step explanation:

let us assume root 7 is rational

a/b =root 7

sqauring on both sides

a2/b2 = 7

a2 = 7b2

b2 = 7/a2

• 7 divides a

a = 7c

squaring on both sides

a2 = (7c)2

7b2 = 49c2

b2 = 49c2/7

b2 = 7c2

c2 = b2/7

• 7 divides b

•HCF of a,b = 7

root 7 is irrational