Question

PLEASE HELPP!!!! Which number is an irrational number?

Answer 1

Answer:

D. $\sqrt[3]{16}$

Step-by-step explanation:

What is an irrational number?

  ❖ An irrational number is a number that cannot be written in fraction

      form. They're also non-terminating and non-repeating decimals.

Determing Irrational or Rational

A.

• The square root of 100 is 10 because 10 × 10 = 100. 10 can be written as a fraction of 10/1, so it's rational.

B.

• 1/8 is already in fraction form, so it's rational.

C.

• -2.2675 is a terminating decimal, so it's rational.

D.

• The cube root of 16 is irrational because there is no exact number that multiplies itself 3x to get 16. Additionally, when you put the cube root of 16 in a calculator, you will get a mess of decimal digits, thus forming a non-repeating and non-terminating decimal.