Math, asked by Amishh4868, 10 months ago

Prove That √49 Is Irrational Number

Answers

Answered by madhutiwari793
1

Answer:bro it's not √49 = 7 that is rational

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Answered by sandrehea04
1

Step-by-step explanation:

let √49 be a rational no.

such that √49 = p/q

where p and q do not have any common factors and q is not equal to 0

squarring on both sides,

49=p^2/q^2

p^2= 49q^2

therefore 49 is a factor of p^2 and 49 is a factor of p -(1)

let p be any unknown no.

p=49m

Substitute value of p

(49m)^2=49q^2

2401m^2= 49q^2

q^2=2401m^2/49

q^2=49m^2

therefore 49 is a factor of q^2

49 is a factor of q-(2)

from 1 and 2

49 is a factor of both p and q

but by the rule stated ,, this is not possible ,

hence √49 is not rational

it is irrational

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