How does finding the square root of a number compare to finding the cube root of a number? Use 64 in the explanation

The square root would be two of the same numbers multiplied to give the answer 64 so 8*8=64

The cubed root would be three of the same numbers multiplied to give you the answer of 64 so 4*4*4=64

Thanks Alison. You've helped yet another person

Thanks Alison your the best ^w^

Alison did explain how they compare but it's just kinda poorly explained.

The square root of a number is a value, which on multiplication by itself gives the original number and the Cube root of a number is a value which when multiplied by itself thrice produces the original value.
Square root: 8*8=64
Cubed root: 4*4*4=64

Alison was right though, but this is for people who didn't exactly understand what she meant.

Thx allison. i didn't understand that well but you have helped me learn!!!

how do they compare tho?

Finding the square root of a number and finding the cube root of a number are both mathematical operations that involve finding a certain root of a given number. However, they differ in terms of the power to which the number is raised.

To compare the square root and the cube root of a number, let's use the number 64 as an example. The square root of 64, denoted as √64 or "the square root of 64," is the value that, when multiplied by itself, equals 64. Therefore, we need to find a number that, when multiplied by itself, gives 64 as the product.

To calculate the square root of 64, you can use different methods. One simple method is the prime factorization approach:

1. Start by writing the prime factorization of 64, which is 2 × 2 × 2 × 2 × 2 × 2 (or 2^6).
2. Group the factors into pairs: (2 × 2) × (2 × 2) × (2 × 2).
3. For each pair, take one factor out and write it as a single number: 2 × 2 × 2 = 8.
4. Multiply all those single numbers together: 8 × 8 × 8 = 512.

Hence, the square root of 64 is 8.

Now let's proceed to finding the cube root of 64. The cube root of 64, denoted as ³√64 or "the cube root of 64," is the value that, when multiplied by itself twice, gives 64 as the product. In other words, we need to find a number that, when multiplied by itself and then multiplied by itself again, results in 64.

To calculate the cube root of 64, you can use various methods as well. One approach is the prime factorization method:

1. Start by writing the prime factorization of 64, which is 2 × 2 × 2 × 2 × 2 × 2 (or 2^6).
2. Group the factors into groups of three: (2 × 2 × 2) × (2 × 2 × 2).
3. For each group of three, take one factor out and write it as a single number: 2 × 2 × 2 = 8.
4. Multiply all those single numbers together: 8 × 8 = 64.

Hence, the cube root of 64 is 4.

In summary, finding the square root of a number involves finding the value that, when multiplied by itself, equals the original number. Finding the cube root of a number involves finding the value that, when multiplied by itself twice, gives the original number. In our example, the square root of 64 is 8, while the cube root of 64 is 4.

but i need to know how they COMPARE with each other

how do they COMPARE