Find the cubic root of 189.
A. 9∛21
B. 27∛7
C. 3√7
D. 3∛7
which one is right?
The correct answer is D. 3∛7.
To find the cubic root of 189, we need to find a number that, when multiplied by itself three times, gives us 189.
To determine the correct option, we can simplify each option and see which one results in 189.
A. 9∛21 = 9 * (21)^(1/3) = 9 * 2.758 = 24.822 (not equal to 189)
B. 27∛7 = 27 * (7)^(1/3) = 27 * 1.913 = 51.711 (not equal to 189)
C. 3√7 = 3 * √7 = 3 * 2.646 = 7.938 (not equal to 189)
D. 3∛7 = 3 * (7)^(1/3) = 3 * 1.913 = 5.739 (not equal to 189)
None of the options listed are equal to 189.
To find the cubic root of 189, we need to find a number that, when raised to the power of 3, equals 189. Let's go through the options:
A. 9∛21 - This is not the cubic root of 189.
B. 27∛7 - This is not the cubic root of 189.
C. 3√7 - This is not the correct notation for cubic root. The symbol √ represents the square root, not the cubic root.
D. 3∛7 - This is the correct notation for the cubic root. Let's check if it is the correct answer.
To verify if 3∛7 is the correct answer, we can substitute it back into the equation:
(3∛7)^3 = 3^3 * ∛7^3 = 27 * 7 = 189
Therefore, the correct answer is D. 3∛7.