Question

Prove that 2-root2/2+root2 is irrational

Answer 1

Answer:

yes it is irrational

hope it helps you

Answer 2

Answer:

you can do this rationalising the denominator

Step-by-step explanation:

2-√2/2+√2 X 2-√2/2-√2= (2-√2)²/ (2)²-(√2)²=3-2√2. 3 is rational while 2√2

the difference of a rational and an irrational number is always irrational.so 3-2√2 is irrational hence 2-√2/2+√2 is irrational