Question

Prove that 3+2$\sqrt$3 is an irrational number. Class 10

Answer 1

Step-by-step explanation:

Let 3+2√3 be rational.

3+2√3=p/q

p and q=Z (integers) q is not equals to 0

HCF(p,q)=1

2√3=p/q-3=p-3q/q

√3=p-3q/2q

p-3q/2q is rational number.

so, √3 is also rational number as it is is equal to it.

But it contradicts the fact that √3 is a irrational number.

:3+2√3 is a rational number.

Answer 2

Answer:

answer attached in photo