Question

prove that √7 is irrational and also prove that 5+3√7 is irrational

Answer 1

Answer:

let root 7 be rational then,

root 7 = a/b

squaring on both side,

7 = a^2/ b^2

7b^2 = a^2

this shows that a^2 can be divided by 7 and a can be also divided.

let a = c then this shows that our assumption is wrong and root 7 is irrational

Step-by-step explanation: