Question

Hii, it's been like 2 years since i was last on here, anyways, a lil help on this: btw how do you get the answer?

Answer 1

4 for the original number, and 16 for the square.

Explanation:

If the cube is 64, then to get the original answer 4, you know that 4^3 or 4x4x4 = 64. The square of 4 is 16 (4^2 or 4x4)

Answer 2

4 and 16 (square)

Step-by-step explanation:

We can refer to the first diagram in order to answer the second diagram. We see from the above that 2² = 4 and 2³ = 8. We know that square represents the power of two while cube represents the power of 3.

In the second diagram, refer from the first diagram that 2² = 4 and 2³ = 8. However, we do not know what the value is. Therefore, we will let x be the number. This will create the equation of:

`\displaystyle{ {x}^(3) = 64}`

We will not create the quadratic equation because we do not exactly know the perfect square number too. Thus, by creating the cubic equation, solve for x-term and square it is way simpler.

From the equation, cube root both sides:

`\displaystyle{ \sqrt[3]{ {x}^(3) } = \sqrt[3]{64} } \\ \\ \displaystyle{x = \sqrt[3]{ {2}^(6) } } \\ \\ \displaystyle{x = {2}^(2) = 4}`

Therefore, x = 4. Hence, the number that is above square and cube is 4.

We can find the square of 4 which is 4² = 16. Hence, the square is 16.