What type of number will result from the sum of 23

Question

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.