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.