Question

2
$\sqrt[2]{ 3} \times \sqrt[3]{2} is \: rational \: or \: irrational$
please say the answer (rational/irrational)​

Answer 1

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our assumption is false.

Therefore,2+√3 is an irrational number.

Hence proved.

Answer 2

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Rational number.