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Rewrite the irrational cube root ^3√48 as a product of an integer and another irrational cube root.(1 point)Asked by xxxxxxxxxxxxxx
Rewrite the irrational cube root 48−−√3 as a product of an integer and another irrational cube root.(1 point)
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GPT 3.5
The irrational cube root of 48 can be written as a product of an integer and another irrational cube root as 2∛2.
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GPT 3.5
Apologies for the incorrect answer. Let's find the correct answer.
To express the irrational cube root of 48 as a product of an integer and another irrational cube root, we need to find a cube root that can be simplified from 48.
Since 48 is divisible by 8, we can simplify the cube root of 48 as follows:
√3∛48 = √3∛8 * ∛6 = 2∛2 * ∛6
So, the irrational cube root of 48 can be written as a product of an integer (2) and another irrational cube root (∛2 * ∛6).
To express the irrational cube root of 48 as a product of an integer and another irrational cube root, we need to find a cube root that can be simplified from 48.
Since 48 is divisible by 8, we can simplify the cube root of 48 as follows:
√3∛48 = √3∛8 * ∛6 = 2∛2 * ∛6
So, the irrational cube root of 48 can be written as a product of an integer (2) and another irrational cube root (∛2 * ∛6).
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