Math, asked by mohdamaan6073, 10 months ago

to Prove that root7 is an irrational
Number​

Answers

Answered by shujathfarhan
2

Answer:

Yes root 7 is a rational number

Answered by BRAINLYBRUH
4

hi mate here is ur answer

●○●○●○●○●○●○●○●○●○●○●○●○●○●○●○●

Lets assume that √7 is rational number. ie √7=p/q.

suppose p/q have common factor then

we divide by the common factor to get √7 = a/b were a and b are co-prime number.

that is a and b have no common factor.

√7 =a/b co- prime number

√7= a/b

a=√7b

squaring

a²=7b² .......1

a² is divisible by 7

a=7c

substituting values in 1

(7c)²=7b²

49c²=7b²

7c²=b²

b²=7c²

b² is divisible by 7

that is a and b have atleast one common factor 7. This is contridite to the fact that a and b have no common factor.This is happen because of our wrong assumption.

√7 is irrational

●○●○●○●○●○●○●○●○●○●○●○●○●○●○●○●

mark me as BRAINLIEST

Similar questions