Question

If x = 3+2 √2, then find whether x + 1/2 is rational or irrational

Answer 1

hi friend
here's your answer looking for

if the value of
$x = 3 + 2 \sqrt{2}$

then ,

putting the value of x in x+1/2
we get,

$(3 + 2 \sqrt{2} ) + \frac{1}{2} \\ \\ = \frac{2(3 + 2 \sqrt{2} ) + 1 }{2} \\ \\ = \frac{6 + 4 \sqrt{2 } + 1}{2} \\ \\ = \frac{7 + 4 \sqrt{2} }{2}$

so, this is irrational number.

hope you are satisfied with my answer

Answer 2

irational......
.7/2+2√2 is a Irational number