Question
Simplify the expression
p3−200
Evaluate
p3×1−10−190
Any expression multiplied by 1 remains the same
p3−10−190
Solution
p3−200
Show Solution

Find the roots
p=2325
Alternative Form
p≈5.848035
Evaluate
p3×1−10−190
To find the roots of the expression,set the expression equal to 0
p3×1−10−190=0
Any expression multiplied by 1 remains the same
p3−10−190=0
Subtract the numbers
p3−200=0
Move the constant to the right-hand side and change its sign
p3=0+200
Removing 0 doesn't change the value,so remove it from the expression
p3=200
Take the 3-th root on both sides of the equation
3p3=3200
Calculate
p=3200
Solution
More Steps

Evaluate
3200
Write the expression as a product where the root of one of the factors can be evaluated
38×25
Write the number in exponential form with the base of 2
323×25
The root of a product is equal to the product of the roots of each factor
323×325
Reduce the index of the radical and exponent with 3
2325
p=2325
Alternative Form
p≈5.848035
Show Solution
