Answer:
D. [tex]\sqrt[3]{16}[/tex]
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.
