Question

show that x² = 6 is irrational
​

Answer 1

Step-by-step explanation:

x^2 = 6

Taking square root,

x = ±√6

And, we know that any quantity to the square root is an irrational quantity.

Thus, x = ±√6 is irrational.

=> x^2 = 6 is also irrational.

:)

Answer 2

x^2 = 6

=> x = ±√6

=> x = ±2.4494897......

Since, it is a non terminating and non recurring number, it is a irrational number.