Question
write the irrational square root √48 as the product of another irrational product and integer
Answers
Answer
what is the irrationl squre root of √28 simplified
Answer
rewrite the irrational cube root 3*√48 as a product of an integer and another irrational cube root
Answer
rewrite the irrational cube root 3*√48 as a product of an integer and another irrational cube root
4 3*√12
-2 3*√6
2 3*√6
4 3*√3
4 3*√12
-2 3*√6
2 3*√6
4 3*√3
Answer
no use the options
Answer
wat is the irration cube root 3*√-24 rewritten as a product of an integer and another irrational cube root
Answered by
GPT 3.5
√48 can be written as the product of the irrational square root of 16 and the integer 3.
√48 = √(16 * 3) = √16 * √3 = 4√3
√48 = √(16 * 3) = √16 * √3 = 4√3
Answered by
GPT 3.5
To simplify the square root of √28, we need to find perfect square factors of 28.
The prime factorization of 28 is:
28 = 2^2 * 7
Since 4 is a perfect square factor of 28, we can simplify the square root of 28 by taking out the square root of 4:
√28 = √(4 * 7) = 2√7
Therefore, the irrational square root of √28 simplifies to 2√7.
The prime factorization of 28 is:
28 = 2^2 * 7
Since 4 is a perfect square factor of 28, we can simplify the square root of 28 by taking out the square root of 4:
√28 = √(4 * 7) = 2√7
Therefore, the irrational square root of √28 simplifies to 2√7.
Answered by
GPT 3.5
To rewrite the expression 3 * √48 as a product of an integer and another irrational cube root, we need to find a perfect cube factor of 48.
The prime factorization of 48 is:
48 = 2^4 * 3
We can see that 8 is a perfect cube factor of 48, as 8 = 2^3. So we can divide 48 by 8 to get:
48 / 8 = 6
Therefore, we can write 3 * √48 as the product of the cube root of 8 (∛8) and the square root of 6 (√6) multiplied by 3:
3 * √48 = 3 * (∛8 * √6)
Simplifying further, we have:
3 * √48 = 3 * ∛8 * √6
So, 3 * √48 can be expressed as the product of an irrational cube root (∛8) and an integer:
3 * √48 = 3∛8 * √6
The prime factorization of 48 is:
48 = 2^4 * 3
We can see that 8 is a perfect cube factor of 48, as 8 = 2^3. So we can divide 48 by 8 to get:
48 / 8 = 6
Therefore, we can write 3 * √48 as the product of the cube root of 8 (∛8) and the square root of 6 (√6) multiplied by 3:
3 * √48 = 3 * (∛8 * √6)
Simplifying further, we have:
3 * √48 = 3 * ∛8 * √6
So, 3 * √48 can be expressed as the product of an irrational cube root (∛8) and an integer:
3 * √48 = 3∛8 * √6
Answered by
GPT 3.5
To rewrite the expression 3 * √48 as a product of an integer and another irrational cube root, we need to find a perfect cube factor of 48.
The prime factorization of 48 is:
48 = 2^4 * 3
We can see that 27 is a perfect cube factor of 48, as 27 = 3^3. So we can divide 48 by 27 to get:
48 / 27 = 1 remainder 21
Therefore, we can write 3 * √48 as the product of the cube root of 27 (∛27) and the square root of 21 (√21) multiplied by the integer coefficient 1:
3 * √48 = 3 * (∛27 * √21)
Simplifying further, we have:
3 * √48 = 3 * ∛27 * √21
So, 3 * √48 can be expressed as the product of an integer (3) and another irrational cube root:
3 * √48 = 3∛27 * √21
The prime factorization of 48 is:
48 = 2^4 * 3
We can see that 27 is a perfect cube factor of 48, as 27 = 3^3. So we can divide 48 by 27 to get:
48 / 27 = 1 remainder 21
Therefore, we can write 3 * √48 as the product of the cube root of 27 (∛27) and the square root of 21 (√21) multiplied by the integer coefficient 1:
3 * √48 = 3 * (∛27 * √21)
Simplifying further, we have:
3 * √48 = 3 * ∛27 * √21
So, 3 * √48 can be expressed as the product of an integer (3) and another irrational cube root:
3 * √48 = 3∛27 * √21
Answered by
GPT 3.5
Apologies for misunderstanding your request. Let's rewrite 3 * √48 using the given options:
Possible options:
a) 4∛12
b) -2∛6
c) 2∛6
d) 4∛3
To determine the correct option, we need to simplify the expression 3 * √48 further:
√48 can be simplified as √(16 * 3) = √16 * √3 = 4 * √3.
Now we can substitute this value back into the expression:
3 * √48 = 3 * (4 * √3) = 12 * √3
Comparing this value to the given options, we can see that the correct answer is option: d) 4∛3.
Therefore, 3 * √48 can be rewritten as the product of an integer and another irrational cube root: 4∛3.
Possible options:
a) 4∛12
b) -2∛6
c) 2∛6
d) 4∛3
To determine the correct option, we need to simplify the expression 3 * √48 further:
√48 can be simplified as √(16 * 3) = √16 * √3 = 4 * √3.
Now we can substitute this value back into the expression:
3 * √48 = 3 * (4 * √3) = 12 * √3
Comparing this value to the given options, we can see that the correct answer is option: d) 4∛3.
Therefore, 3 * √48 can be rewritten as the product of an integer and another irrational cube root: 4∛3.
Answered by
GPT 3.5
To rewrite the expression 3 * √(-24) as a product of an integer and another irrational cube root, we first need to simplify the square root of -24.
The square root of a negative number is not a real number, so we can rewrite √(-24) as √(24) * i, where i is the imaginary unit.
Now, we can rewrite the expression 3 * √(-24) as 3 * √(24) * i.
Therefore, 3 * √(-24) can be expressed as the product of an integer (3) and another irrational cube root (√24 * i):
3 * √(-24) = 3 * √(24) * i
The square root of a negative number is not a real number, so we can rewrite √(-24) as √(24) * i, where i is the imaginary unit.
Now, we can rewrite the expression 3 * √(-24) as 3 * √(24) * i.
Therefore, 3 * √(-24) can be expressed as the product of an integer (3) and another irrational cube root (√24 * i):
3 * √(-24) = 3 * √(24) * i
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.