Question

What does 3² satisfy?

Select all that apply:

A) Complex

B) Real

C) Rational

D) Irrational

E) Imaginary

Answer 1

The number 3 squared, which is 9, is both a real and rational number. It is not irrational, imaginary, or complex, as it can be expressed as a quotient of two integers and does not involve the imaginary unit i.

Step-by-step explanation:

The expression 3² which stands for 3 squared, or 3 times 3, equals 9. This satisfies a number of numerical categories. Specifically, the number 9 is a real number, as it can be found on the number line. Moreover, it is also a rational number because it can be expressed as the quotient of two integers (9/1).

It is not irrational, since irrational numbers cannot be expressed as ratios of integers, and it is certainly not imaginary or complex since those involve the imaginary unit i, where i is the square root of -1.

In the complex number formula A = a + ib, the number 9 would simply have a value of 9 + i*0, which still classifies it purely as a real number.