Question
Simplify the expression
x3−24
Evaluate
x2×x−24
Solution
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−24
Show Solution

Find the roots
x=233
Alternative Form
x≈2.884499
Evaluate
x2×x−24
To find the roots of the expression,set the expression equal to 0
x2×x−24=0
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−24=0
Move the constant to the right-hand side and change its sign
x3=0+24
Removing 0 doesn't change the value,so remove it from the expression
x3=24
Take the 3-th root on both sides of the equation
3x3=324
Calculate
x=324
Solution
More Steps

Evaluate
324
Write the expression as a product where the root of one of the factors can be evaluated
38×3
Write the number in exponential form with the base of 2
323×3
The root of a product is equal to the product of the roots of each factor
323×33
Reduce the index of the radical and exponent with 3
233
x=233
Alternative Form
x≈2.884499
Show Solution
