What is the cube root of 3002 squared? On this page, we will show you three methods you can use to solve this math problem. However, before we begin, let us show you the mathematical presentation of cube root of 3002 squared:
(∛3002)²
Method 1:
In this first method, we start by taking the cube root of 3002, and then square the result. In other words, we follow the rule of PEMDAS and solve what is inside the parentheses first, before the exponent. Here is the math and the answer:
∛3002 ≈ 14.4257
14.4257² ≈ 208.10082
(∛3002)² ≈ 208.10082
Method 2:
In the second method, we start by squaring 3002 and then take the cube root of the result. This method is possible because of this rule: ∛a × ∛b = ∛(a × b). Here is the math and the answer to do it this way:
3002² = 9012004
∛207936 ≈ 208.10082
(∛3002)² ≈ 208.10082
Method 3:
In the third and final method, we convert the problem to a base with an exponent and solve it. This method is possible because (∛x)² is equal to x raised to the power of 2/3. Here is the math and the answer to do it this way:
(∛3002)² = 3002²/³
3002²/³ ≈ 208.10082
(∛3002)² ≈ 208.10082
Bonus:
By popular demand, we have also calculated the simplest radical form of the cube root of 3002 squared:
(∛3002)² = ∛9012004
Cube Root Squared
Use the tool below to solve another cube root squared problem.
What is the cube root of 3003 squared?
Here is another cube root squared problem that you may find interesting.