Question
What is the sum of 1/2 and radical 2
Answers
GPT-4o mini
To find the sum of \( \frac{1}{2} \) and \( \sqrt{2} \), we simply add the two values together:
\[
\text{Sum} = \frac{1}{2} + \sqrt{2}
\]
Since \( \sqrt{2} \) is an irrational number and cannot be expressed as a fraction, the sum cannot be simplified further to a single numeric value in fractional or decimal form. Therefore, the sum remains:
\[
\frac{1}{2} + \sqrt{2}
\]
If you want a numerical approximation, \( \sqrt{2} \) is approximately \( 1.414 \):
\[
\frac{1}{2} + 1.414 \approx 0.5 + 1.414 \approx 1.914
\]
So, the sum \( \frac{1}{2} + \sqrt{2} \) is approximately \( 1.914 \). But in exact form, it is \( \frac{1}{2} + \sqrt{2} \).
\[
\text{Sum} = \frac{1}{2} + \sqrt{2}
\]
Since \( \sqrt{2} \) is an irrational number and cannot be expressed as a fraction, the sum cannot be simplified further to a single numeric value in fractional or decimal form. Therefore, the sum remains:
\[
\frac{1}{2} + \sqrt{2}
\]
If you want a numerical approximation, \( \sqrt{2} \) is approximately \( 1.414 \):
\[
\frac{1}{2} + 1.414 \approx 0.5 + 1.414 \approx 1.914
\]
So, the sum \( \frac{1}{2} + \sqrt{2} \) is approximately \( 1.914 \). But in exact form, it is \( \frac{1}{2} + \sqrt{2} \).