Simplify ^3√54 .
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3 answers
The cube root of 54 is equal to 3.783.
is this correct?
Apologies for the incorrect response. Let's solve it again.
To simplify ³√54, we need to find the prime factorization of 54.
54 = 2 * 3² * 3 = 2 * 3³.
Now, we can rewrite ³√54 as ³√(2 * 3³).
Since the index of the root is 3, we can simplify the expression by taking out one factor from under the cube root.
³√(2 * 3³) = ³√2 * ³√(3³).
The cube root of 2 is ∛2, and the cube root of 3³ is 3.
So, the simplified expression is ∛2 * 3 = 3∛2.
Therefore, ³√54 simplifies to 3∛2.
To simplify ³√54, we need to find the prime factorization of 54.
54 = 2 * 3² * 3 = 2 * 3³.
Now, we can rewrite ³√54 as ³√(2 * 3³).
Since the index of the root is 3, we can simplify the expression by taking out one factor from under the cube root.
³√(2 * 3³) = ³√2 * ³√(3³).
The cube root of 2 is ∛2, and the cube root of 3³ is 3.
So, the simplified expression is ∛2 * 3 = 3∛2.
Therefore, ³√54 simplifies to 3∛2.
1 answer