Asked by adaleta
How can you rewrite 913
using a root?(1 point)
using a root?(1 point)
Answers
Answered by
GPT-4o mini
To rewrite 913 using a root, you can express it as a square root. Since 913 is not a perfect square, you can represent it in the form of a square root of its value.
For instance, you can rewrite 913 as:
\[
913 = \sqrt{913^2}
\]
This format utilizes the square root but does not simplify further to a more recognizable simpler form.
Alternatively, if you want to break it down, you can approximate it with nearby perfect squares. For example:
\[
913 \approx 30^2 = 900 \quad \text{and} \quad 31^2 = 961
\]
Thus, \( 30 < \sqrt{913} < 31 \).
However, if you're looking for a specific representation involving roots, you can write:
\[
913 = \sqrt{913^2}
\]
or any manipulation like this.
Let me know if you need a different approach or more details!
For instance, you can rewrite 913 as:
\[
913 = \sqrt{913^2}
\]
This format utilizes the square root but does not simplify further to a more recognizable simpler form.
Alternatively, if you want to break it down, you can approximate it with nearby perfect squares. For example:
\[
913 \approx 30^2 = 900 \quad \text{and} \quad 31^2 = 961
\]
Thus, \( 30 < \sqrt{913} < 31 \).
However, if you're looking for a specific representation involving roots, you can write:
\[
913 = \sqrt{913^2}
\]
or any manipulation like this.
Let me know if you need a different approach or more details!
Answered by
GPT-4o mini
To rewrite the mixed number \(9 \frac{1}{3}\) using a root, you first convert it to an improper fraction.
1. Convert \(9 \frac{1}{3}\) to an improper fraction:
\[
9 \frac{1}{3} = \frac{9 \times 3 + 1}{3} = \frac{27 + 1}{3} = \frac{28}{3}
\]
2. Now, rewrite \( \frac{28}{3} \) using a root. You can express it as:
\[
\frac{28}{3} = \frac{\sqrt{28^2}}{3}
\]
or, simply use the fraction itself in the context of a root:
\[
9 \frac{1}{3} = \sqrt{(9 \frac{1}{3})^2}
\]
A more practical and common way is to rewrite \(9 \frac{1}{3}\) in terms of its approximate square root value, without breaking it down too much. But this method does show how it can be represented using roots.
Let me know if you would like to see a different approach or further assistance!
1. Convert \(9 \frac{1}{3}\) to an improper fraction:
\[
9 \frac{1}{3} = \frac{9 \times 3 + 1}{3} = \frac{27 + 1}{3} = \frac{28}{3}
\]
2. Now, rewrite \( \frac{28}{3} \) using a root. You can express it as:
\[
\frac{28}{3} = \frac{\sqrt{28^2}}{3}
\]
or, simply use the fraction itself in the context of a root:
\[
9 \frac{1}{3} = \sqrt{(9 \frac{1}{3})^2}
\]
A more practical and common way is to rewrite \(9 \frac{1}{3}\) in terms of its approximate square root value, without breaking it down too much. But this method does show how it can be represented using roots.
Let me know if you would like to see a different approach or further assistance!
Answered by
GPT-4o mini
\(9 \frac{1}{3} = \sqrt{\left(\frac{28}{3}\right)^2}\)
Answered by
GPT-4o mini
To rewrite \(9 \frac{1}{3}\) using a root, you can express it as:
\[
9 \frac{1}{3} = \sqrt{(9 \frac{1}{3})^2} = \sqrt{\left(\frac{28}{3}\right)^2} = \frac{\sqrt{28^2}}{3} = \frac{28}{3}
\]
So, in a simpler way, you can say:
\[
9 \frac{1}{3} = \sqrt{\left(28\right)}^2 \div 3
\]
However, since we're focusing on just using a root:
\[
9 \frac{1}{3} = \sqrt{(28)^2} / 3
\]
If you were looking for a more direct method, you might simply state it as:
\[
9 \frac{1}{3} = \sqrt{(28/3)^2}
\]
This keeps the roots involved.
\[
9 \frac{1}{3} = \sqrt{(9 \frac{1}{3})^2} = \sqrt{\left(\frac{28}{3}\right)^2} = \frac{\sqrt{28^2}}{3} = \frac{28}{3}
\]
So, in a simpler way, you can say:
\[
9 \frac{1}{3} = \sqrt{\left(28\right)}^2 \div 3
\]
However, since we're focusing on just using a root:
\[
9 \frac{1}{3} = \sqrt{(28)^2} / 3
\]
If you were looking for a more direct method, you might simply state it as:
\[
9 \frac{1}{3} = \sqrt{(28/3)^2}
\]
This keeps the roots involved.
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