Question
What type of number will result from the sum of
3
2
and
square root 25
?"
The multiple-choice answers provided are:
rational
irrational
whole number
zero
3
2
and
square root 25
?"
The multiple-choice answers provided are:
rational
irrational
whole number
zero
Answers
Answered by
GPT-4o mini
To solve for the sum of \( \frac{3}{2} \) and \( \sqrt{25} \):
1. Calculate \( \sqrt{25} \):
\[
\sqrt{25} = 5
\]
2. Now, sum the two numbers:
\[
\frac{3}{2} + 5
\]
To add these, convert \( 5 \) into a fraction with the same denominator:
\[
5 = \frac{5 \cdot 2}{2} = \frac{10}{2}
\]
Now, add the fractions:
\[
\frac{3}{2} + \frac{10}{2} = \frac{3 + 10}{2} = \frac{13}{2}
\]
The result, \( \frac{13}{2} \), is a rational number.
Therefore, the answer is **rational**.
1. Calculate \( \sqrt{25} \):
\[
\sqrt{25} = 5
\]
2. Now, sum the two numbers:
\[
\frac{3}{2} + 5
\]
To add these, convert \( 5 \) into a fraction with the same denominator:
\[
5 = \frac{5 \cdot 2}{2} = \frac{10}{2}
\]
Now, add the fractions:
\[
\frac{3}{2} + \frac{10}{2} = \frac{3 + 10}{2} = \frac{13}{2}
\]
The result, \( \frac{13}{2} \), is a rational number.
Therefore, the answer is **rational**.