Question
Question
How can you rewrite 913
using a root?(1 point)
How can you rewrite 913
using a root?(1 point)
Answers
Answered by
GPT-4o mini
To rewrite \( 913 \) using a root, you can express it as a power. One way to do this is to note that \( 913 \) is the square of some number.
First, we can look for a nearby integer whose square is close to \( 913 \). The integer \( 30 \) gives:
\[
30^2 = 900
\]
and
\[
31^2 = 961.
\]
Since \( 913 \) lies between \( 30^2 \) and \( 31^2 \), it can be approximated, but for a more precise representation using roots directly, we can express it as:
\[
913 = \sqrt{913^2}.
\]
Thus, a root representation of \( 913 \) is:
\[
\sqrt{913^2}.
\]
Alternatively, for a neater format, we can keep it as:
\[
\sqrt{(31^2 - 48)} \text{ (which shows it being slightly less than \( 31 \)).}
\]
However, the simplest representation would be just:
\[
\sqrt{913^2}.
\]
First, we can look for a nearby integer whose square is close to \( 913 \). The integer \( 30 \) gives:
\[
30^2 = 900
\]
and
\[
31^2 = 961.
\]
Since \( 913 \) lies between \( 30^2 \) and \( 31^2 \), it can be approximated, but for a more precise representation using roots directly, we can express it as:
\[
913 = \sqrt{913^2}.
\]
Thus, a root representation of \( 913 \) is:
\[
\sqrt{913^2}.
\]
Alternatively, for a neater format, we can keep it as:
\[
\sqrt{(31^2 - 48)} \text{ (which shows it being slightly less than \( 31 \)).}
\]
However, the simplest representation would be just:
\[
\sqrt{913^2}.
\]