Question

Rodney thinks that sqaure to the third power of 64 is greater than 17/4. Sam thinks that 17/4 is greater. Who is right and why?

Answer 1

The result of a square to the third power is a number that mutiplied 3 times by itself results in the number inside the square.

For example

`\sqrt[3]{8}=2`

because 2*2*2=8.

In this case:

`\sqrt[3]{64}=4`

That is because 4*4*4=64.

Now, we compare this with 17/4:

`(17)/(4)=4.25`

Thus, since 4 is less than 17/4. The one who is right is Sam, because 17/4 is greater than 4