Question

explain if (2-√2)(2-√2)
is rational or irrational​

Answer 1

Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.

...

A proof that the square root of 2 is irrational.

2 = (2k)2/b2

b2 = 2k2

Answer 2

irrational

Step-by-step explanation:

(2-√2)(2-√2)

$(2 - \sqrt{2} )^{2}$

${(2)}^{2} - 2 \times 2 \times \sqrt{2} + ( \sqrt{2} )^{2}$

4 - 4√2 + 2

6 - 4√2

6-4√2 =p/q.

But it contradict the fact that√2 is irrational number.