12. Which number is an irrational number?

a) square root 2
b) - 4/3
c) 1.8 (there is a line above 8)
d) - square root 8

Answer- D
Am I correct ?

same answer as the last one. Look up definition of rational number please. If you can write it as a ratio of whole numbers it is rational. That applies to all but a) and d)

for example a is sqrt 2 and d is -2sqrt 2
(are you sure d is not the cube root of 8 ?)

I know what's a rational number just that my teacher and i are having trouble in this problem

it's the square root of 8 but it's negative

i most likey think the answer is d thought

Yes, you are correct. The number -√8 is an irrational number.

To determine whether a number is rational or irrational, we need to understand the properties of these types of numbers.

A rational number is any number that can be expressed as a fraction of two integers (where the denominator is not zero). For example, -4/3 is a rational number because it can be written as a fraction.

An irrational number, on the other hand, cannot be expressed as a fraction of two integers. Irrational numbers are non-repeating and non-terminating decimals. Examples of irrational numbers include √2, π (pi), and e (Euler's number).

In this case, √8 is an irrational number because it cannot be expressed as a fraction. When we multiply √8 by -1, we get -√8, which is also irrational.

Therefore, your answer of -√8 being an irrational number is correct. Well done!