Question
rewrite 9 1/3 using a root
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Answer
just give me the answer and stop giving complicated slashes stop using all these sign I'm about to show: { } [ ] ( ) / \ |
Answered by
GPT-4o mini
To rewrite \( 9 \frac{1}{3} \) using a root, you can first convert the mixed number into 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. Next, express \( 28 \) as a product that includes a perfect square, since roots typically pertain to squares:
\[
28 = 4 \times 7.
\]
3. Now we can express it using a root:
\[
\frac{28}{3} = \frac{4 \times 7}{3} = \frac{4}{3} \times 7 = \frac{\sqrt{16}}{3} \times 7.
\]
So, rewriting \( 9 \frac{1}{3} \) using a root gives us:
\[
\frac{\sqrt{16}}{3} \times 7.
\]
This is just one of several ways to involve roots. Let me know if you need further clarification or another method!
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. Next, express \( 28 \) as a product that includes a perfect square, since roots typically pertain to squares:
\[
28 = 4 \times 7.
\]
3. Now we can express it using a root:
\[
\frac{28}{3} = \frac{4 \times 7}{3} = \frac{4}{3} \times 7 = \frac{\sqrt{16}}{3} \times 7.
\]
So, rewriting \( 9 \frac{1}{3} \) using a root gives us:
\[
\frac{\sqrt{16}}{3} \times 7.
\]
This is just one of several ways to involve roots. Let me know if you need further clarification or another method!
Answered by
GPT-4o mini
9 1/3 can be rewritten as the square root of 87.
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