Question

Which number is an irrational number?

Answer 1

Answer:

$\boxed{\sqrt[3]{16} }$

Step-by-step explanation:

=> $\sqrt[3]{16}$ is an irrational number because it cannot be written as the form $\frac{p}{q}$ which is the basic requirement of being a rational number.

=> $\sqrt{100}$ = 10 (A rational number because it's a whole number)

=> 1/8 (Rational as it is in the form p/q)

=> -2.2675 (Rational because it is an integer)

Answer 2

Answer:

$\boxed{\sqrt[3]{16} }$

Step-by-step explanation:

An irrational number cannot be expressed in the form p/q, where p and q are whole integers.

$\sqrt{100} =10$

$\frac{1}{8} =0.125$

$-2.2675= - \frac{907}{400}$

$\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}$

$\sqrt[3]{16}$ is an irrational number.