What type of number will result from the product of √36 and 1/2 ? Enter the number that corresponds to the correct answer.

rational
irrational
mixed number
zero

(1 point)
The product of √36 and 1/2 will result in the type of number described by Option #
.

1 answer

To determine the type of number that results from the product of √36 and 1/2, let's calculate it step by step.

  1. First, calculate √36: \[ \sqrt{36} = 6 \]

  2. Next, multiply 6 by 1/2: \[ 6 \times \frac{1}{2} = \frac{6}{2} = 3 \]

Now, we need to identify the type of number that 3 represents.

  • Rational: A number that can be expressed as a fraction of two integers. (3 can be expressed as 3/1)
  • Irrational: A number that cannot be expressed as a fraction of two integers.
  • Mixed number: A whole number combined with a fraction (3 is not a mixed number).
  • Zero: The number 0.

Since 3 is a whole number and can be expressed as a fraction of integers, it is classified as a rational number.

Thus, the product of √36 and 1/2 will result in the type of number described by Option # rational.