Question

If x = 3 + 2 root 2, then find whether x + - is rational or irrational

Answer 1

Hey ya!

Given x = 3+2√2

x +1/x

= 3+2√2 + 1 / 3+2√2

= 3+2√2 + 3-2√2 / 3+2√2(3-2√2)

= 3+2√2 + 3-2√2 / 3² - (2√2)²

= 3+2√2 + 3-2√2/9-8

= 3+2√2 + 3-2√2

= 6 Which can be written in p/q forrm. (6/1)

Therefore it's a rational number!.

: )

Answer 2

There is the answer check in the image