Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
