Question

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If x = 0, what is the sum of 410 + 5x³8x in simplest form?

Answer 1

x^3(4+5x^3)cuberoot(x)

Explanation:

In order to add the two problems, you need to make sure the radical is the same. Since the cube root of 8x is 2 cuberoot(x) and the cube root of x^10 is x^3 cuberoot(x) this allows the radical to be the same so we can add them.

Now whenever you take out something from within the radical, you multiply it to whatever it is already next to it. So, you would get 4(x^3) cuberoot(x) + 5x^3(x^3) cuberoot(x) From here you get 4(x^3) cuberoot(x) + 5x^6 cuberoot(x).

To finally simplify it, you can put the addition (because the x exponent outside of the cube root isnt the same, you can't add the 4 and 5) so you can get (We can put the x^3 outside of the parenthesis because both numbers have x^3) x^3(4+5x^3)cuberoot(x)