Question

What type of number will result from the sum of 2/3 and √25

1 rational
2 irrational
3 whole number
4 zero

Enter the number that corresponds to the correct answer.
(1 point)
The sum of 2/3 and √25 will result in the type of number described by Option #
.

Answer 1

To determine the type of number resulting from the sum of \( \frac{2}{3} \) and \( \sqrt{25} \):

1. Calculate \( \sqrt{25} \):
\[
\sqrt{25} = 5
\]

2. Now, add \( \frac{2}{3} \) and \( 5 \):
\[
\frac{2}{3} + 5 = \frac{2}{3} + \frac{15}{3} = \frac{2 + 15}{3} = \frac{17}{3}
\]

The result \( \frac{17}{3} \) is a rational number because it can be expressed as a fraction of two integers.

Thus, the correct type of number is option **1**: rational.

The answer is: **1**