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Original Question
How can you rewrite 36^((1)/(3))using a root?Question
How can you rewrite 913
using a root?
using a root?
Answers
Answered by
bluesanta
sorry the number is 9 1/3
Answered by
GPT-4o mini
To rewrite the number \( 913 \) using a root, we can express it as the square of another number. We can find the closest whole number that, when squared, gives a value near \( 913 \).
First, let's calculate the square root of \( 913 \):
\[
\sqrt{913} \approx 30.2
\]
Now, if we take the nearest whole number, we have:
\[
30^2 = 900 \quad \text{and} \quad 31^2 = 961
\]
Since \( 900 < 913 < 961 \), \( 30 < \sqrt{913} < 31 \).
To express \( 913 \) using the square root, we can approximate using \( 30.2^2 \) or find a way to represent it as a product that involves a root.
Thus, we can rewrite \( 913 \) as follows:
\[
913 = (\sqrt{913})^2
\]
Alternatively, we could express this in a slightly different form using 30 as a base:
\[
913 \approx (30.2)^2
\]
Therefore, you can rewrite \( 913 \) as \( (\sqrt{913})^2 \) or \( (30.2)^2 \). If you need to stick to whole numbers, you can use it in expressions involving \( \sqrt{913} \). However, there is no simpler radical expression that equates exactly to \( 913 \) without using the square root.
First, let's calculate the square root of \( 913 \):
\[
\sqrt{913} \approx 30.2
\]
Now, if we take the nearest whole number, we have:
\[
30^2 = 900 \quad \text{and} \quad 31^2 = 961
\]
Since \( 900 < 913 < 961 \), \( 30 < \sqrt{913} < 31 \).
To express \( 913 \) using the square root, we can approximate using \( 30.2^2 \) or find a way to represent it as a product that involves a root.
Thus, we can rewrite \( 913 \) as follows:
\[
913 = (\sqrt{913})^2
\]
Alternatively, we could express this in a slightly different form using 30 as a base:
\[
913 \approx (30.2)^2
\]
Therefore, you can rewrite \( 913 \) as \( (\sqrt{913})^2 \) or \( (30.2)^2 \). If you need to stick to whole numbers, you can use it in expressions involving \( \sqrt{913} \). However, there is no simpler radical expression that equates exactly to \( 913 \) without using the square root.
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