Find the cubic root 56.(1 point)
the answer was 3√5
The cubic root of 56 is approximately 3.779.
that is wrong bot
I apologize for the mistake. Let me calculate the correct cubic root of 56 for you.
The cubic root of 56 is approximately 3.809.
Find the cubic root 56.
Note: You will find the option to add a cubic root symbol in the Algebra ( ×
) keyboard.
(1 point)
The cubic root of 56 can be represented as ∛56.
solve the cubic root of 56 and simplify
To simplify the cubic root of 56, we need to find the prime factors of 56.
The prime factorization of 56 is: 2 * 2 * 2 * 7.
Now, we can simplify the cubic root of 56:
∛56 = ∛(2 * 2 * 2 * 7)
Taking out the perfect cubes from under the cube root:
= ∛(2^3 * 7)
= 2 * ∛7
Therefore, the simplified form of the cubic root of 56 is 2∛7.
solve the cubic root of 32 and simplify
To simplify the cubic root of 32, we need to find the prime factors of 32.
The prime factorization of 32 is: 2 * 2 * 2 * 2 * 2.
Now, we can simplify the cubic root of 32:
∛32 = ∛(2 * 2 * 2 * 2 * 2)
Taking out the perfect cubes from under the cube root:
= ∛(2^3 * 2^3 * 2)
= 2 * 2 * ∛2
= 4∛2
Therefore, the simplified form of the cubic root of 32 is 4∛2.
thats wrong bot
Apologies for the mistake. Let me re-calculate and find the correct solution for the cubic root of 32.
The prime factorization of 32 is: 2 * 2 * 2 * 2 * 2.
Now, we can simplify the cubic root of 32:
∛32 = ∛(2 * 2 * 2 * 2 * 2)
Taking out the perfect cubes from under the cube root:
= ∛(2^3 * 2^3 * 2^3 * 2^3 * 2^3)
= 2 * 2 * 2 * 2 * ∛2
= 8∛2
Apologies again for the previous error. Therefore, the correct simplified form of the cubic root of 32 is 8∛2.
bot, solve the cubic root of 32 and simplify
To solve the cubic root of 32 and simplify it, we can express 32 as 2^5.
∛32 = ∛(2^5)
Now, we can simplify the expression by taking out the perfect cubes from under the cube root:
= ∛(2^3 * 2^2)
= (2 * 2)∛2
= 2^2∛2
Therefore, the cubic root of 32, simplified, is 2∛2.
the answer was 2∛4 bot.
Apologies for the mistake in my previous response.
Let's correct the calculation and find the correct solution for the cubic root of 32.
∛32 = ∛(2 * 2 * 2 * 2 * 2)
Taking out the perfect cubes from under the cube root:
∛32 = ∛(2^2 * 2^2 * 2^2 * 2)
= 2 * 2 * 2^(2/3)
Simplifying further, we can rewrite 2^(2/3) as the cubic root of 4:
= 2 * 2 * ∛4
= 4 * ∛4
Therefore, the correct simplified form of the cubic root of 32 is 4∛4.
no bot, the answer was 2∛4
Apologies for the confusion caused. You are correct. The correct simplified form of the cubic root of 32 is indeed 2∛4. Thank you for pointing that out.
Find the square of 45.(1 point)
The square of 45 is 2,025.
Find the square of 45 and simplify
To find the square of 45 and simplify it, we can multiply 45 by itself:
45^2 = 45 * 45 = 2,025.
Therefore, the square of 45 is 2,025.
I apologize for the mistake in my previous response.
To find the square of 45 and simplify it using a cube root, we need to rewrite 45 as a product of perfect cubes:
45 = 3 * (5)^2/3.
Now, we can calculate the square of this expression:
(3 * (5)^2/3)^2 = 3^2 * (5)^2/3 * (5)^2/3 = 9 * 5^(4/3).
Therefore, the square of 45, simplified using a cube root, is 9 * 5^(4/3).
Find the square of 200 and simplify
To find the square of 200, we can multiply 200 by itself:
200^2 = 200 * 200 = 40,000.
Therefore, the square of 200 is 40,000.
Find the square root of 96.(1 point)
Responses
24
24
64–√
6 start root 4 end root
46–√
4 start root 6 end root
166–√
16 start root 6 end root
The square root of 96 is approximately 9.798.
bot choose one of the responses
Apologies for the multiple responses. The correct response is:
96 –√
4 start root 6 end root
bot that is not a response, the responses are
24
24
64–√
6 start root 4 end root
46–√
4 start root 6 end root
166–√
16 start root 6 end root
Apologies for the confusion. The correct response is:
96–√
6 start root 4 end root
bot, thats not a response, choose one of the responses provided!
Apologies for the confusion.
The response with the correct square root of 96 is:
64–√
6 start root 4 end root
Find the cubic root of 96.(1 point)
Choose one of the responses below
46–√
4 start root 6 end root
27–√3
2 root index 3 start root 7 end root
212−−√3
2 root index 3 start root 12 end root
212−−√
The correct response is:
46–√
4 start root 6 end root
Find the cubic root of 189.(1 point)
Choose one of the responses below
921−−√3
9 root index 3 start root 21 end root
37–√3
3 root index 3 start root 7 end root
37–√
3 start root 7 end root
277–√3
27 root index 3 start root 7 end root
The correct response is:
37–√3
3 root index 3 start root 7 end root
Find the square root of 250.(1 point)
Choose one of the responses below
105–√
10 start root 5 end root
250
250
2510−−√
25 start root 10 end root
510−−√
The correct response is:
510−−√
25 start root 10 end root
Find the square root of 128.(1 point)
Choose one of the responses below
82–√
8 start root 2 end root
24–√
2 start root 4 end root
64 −−−√ x 2–√
start root 64 end root x start root 2 end root
42–√
The correct response is:
82–√
8 start root 2 end root