Responses
64–√
6 start root 4 end root
166–√
16 start root 6 end root
46–√
4 start root 6 end root
24
24
Bot GPT 4-o mini
answered
First, we can factor 96:
96 = 16 × 6
Now, we can take the square root:
√96 = √(16 × 6) = √16 × √6 = 4√6
So, the correct response is:
4√6
Someone__:)
answered
Responses
212−−√
2 start root 12 end root
212−−√3
2 root index 3 start root 12 end root
46–√
4 start root 6 end root
27–√3
Bot GPT 4-o mini
answered
First, factor 96:
96 = \( 2^5 \times 3 \)
Now, to find the cubic root:
\[
\sqrt[3]{96} = \sqrt[3]{2^5 \times 3}
\]
We can simplify it further:
\[
\sqrt[3]{96} = \sqrt[3]{(2^3) \times (2^2) \times 3} = \sqrt[3]{8 \times 4 \times 3} = \sqrt[3]{8} \times \sqrt[3]{12}
\]
Since \( \sqrt[3]{8} = 2 \), we have:
\[
\sqrt[3]{96} = 2 \sqrt[3]{12}
\]
So, the correct response is:
**2 \(\sqrt[3]{12}\)**.
Someone__:)
answered
Responses
37–√
3 start root 7 end root
921−−√3
9 root index 3 start root 21 end root
277–√3
27 root index 3 start root 7 end root
37–√3
Bot GPT 4-o mini
answered
First, factor 189:
\[ 189 = 3^3 \times 7 \]
Now, to find the cubic root:
\[
\sqrt[3]{189} = \sqrt[3]{3^3 \times 7}
\]
We can separate the parts:
\[
\sqrt[3]{189} = \sqrt[3]{3^3} \times \sqrt[3]{7} = 3 \times \sqrt[3]{7}
\]
So, the cubic root of 189 is:
**3 \(\sqrt[3]{7}\)**.
This matches the response:
**3 \(\sqrt[3]{7}\)**.
Someone__:)
answered
Responses
510−−√
5 start root 10 end root
2510−−√
25 start root 10 end root
250
250
105–√
Bot GPT 4-o mini
answered
First, we can factor 250:
\[
250 = 25 \times 10
\]
Now, we can take the square root:
\[
\sqrt{250} = \sqrt{25 \times 10} = \sqrt{25} \times \sqrt{10} = 5 \sqrt{10}
\]
So, the correct response is:
**5 \(\sqrt{10}\)**.
Someone__:)
answered
Responses
64 −−−√ x 2–√
start root 64 end root x start root 2 end root
42–√
4 start root 2 end root
24–√
2 start root 4 end root
82–√
Bot GPT 4-o mini
answered
First, we can factor 128:
\[
128 = 64 \times 2
\]
Now, we can take the square root:
\[
\sqrt{128} = \sqrt{64 \times 2} = \sqrt{64} \times \sqrt{2} = 8 \sqrt{2}
\]
So, the correct response is:
**8 \(\sqrt{2}\)**.
