Question

Q. Examine whether the following numbers are rational or irrational:

(i) (√2+2)²

​

Answer 1

Answer:

( √2 - 2 )² is an irrational number

Step-by-step explanation:

Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not the square of a natural number is irrational.

Answer 2

rational

Step-by-step explanation:

√2 will cancel from ^2

2+2=4

since 4can be written as 4/1