To rewrite the cube root of 189 as the product of an integer and another irrational square root, we first need to find a perfect cube that divides 189.
The prime factorization of 189 is:
189 = 3^3 * 7
Therefore, the cube root of 189 can be rewritten as:
∛189 = ∛(3^3 * 7) = 3∛7
So, the cube root of 189 can be written as the product of the integer 3 and the irrational square root √7:
3√7
Rewrite the irrational cube root of 189 as the product of an integer and another irrational square root. Show your work
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1 answer