Question

What type of number will result from the sum of 23
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 solve for the type of number that results from the given sums:

1. **For 23 + √25**:
- We know that √25 = 5 (since 5 x 5 = 25).
- Therefore, the sum is:
\[
23 + 5 = 28
\]
- 28 is a whole number, which is also a rational number.

The correct option for the first part is:
- **3. whole number**.

2. **For 2/3 + √25**:
- Again, √25 = 5.
- Therefore, the sum is:
\[
\frac{2}{3} + 5 = \frac{2}{3} + \frac{15}{3} = \frac{17}{3}
\]
- \( \frac{17}{3} \) is a rational number.

The correct option for the second part is:
- **1. rational**.

So for your question, if we only care about how the sum of \( \frac{2}{3} \) and \( \sqrt{25} \) would be categorized, the answer is:
- **1**.