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

Question

and 25−−√
?

rational
irrational
whole number
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 that results from the sum of \( \frac{2}{3} \) and \( \sqrt{25} \):

1. First, we calculate the square root: \[ \sqrt{25} = 5 \]

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

   Therefore, the sum becomes: \[ \frac{2}{3} + \frac{15}{3} = \frac{2 + 15}{3} = \frac{17}{3} \]

Since \( \frac{17}{3} \) is a fraction where both the numerator (17) and the denominator (3) are integers, it qualifies as a rational number.

Thus, the correct type of number is rational.

So, you should enter Option 1.