How does finding the square root of a number compare finding the cube root of a number? Use the number 64 in your explanation.
depends. How are you finding the root? by hand, by iteration, using a calculator?
64 = 8*8, so square root = 8
64 = 4*4*4, so cube root = 4
To compare finding the square root of a number and finding the cube root of a number, let's take the number 64 as an example.
Finding the square root of a number is the process of finding a number that, when multiplied by itself, equals the given number. To find the square root of 64, we need to find a number that, when multiplied by itself, gives us 64. In this case, the square root of 64 is 8, because 8 multiplied by 8 equals 64.
On the other hand, finding the cube root of a number is the process of finding a number that, when multiplied by itself twice (or cubed), equals the given number. To find the cube root of 64, we need to find a number that, when multiplied by itself twice, gives us 64. In this case, the cube root of 64 is 4, because 4 multiplied by 4 multiplied by itself (4 cubed) equals 64.
In summary, the square root of 64 is 8, and the cube root of 64 is 4. While square root involves finding a number that, when squared, equals the given number, cube root involves finding a number that, when cubed, equals the given number.