Question
Simplify the expression
12p3−168
Evaluate
p3÷12−14
Rewrite the expression
12p3−14
Reduce fractions to a common denominator
12p3−1214×12
Write all numerators above the common denominator
12p3−14×12
Solution
12p3−168
Show Solution

Find the roots
p=2321
Alternative Form
p≈5.517848
Evaluate
p3÷12−14
To find the roots of the expression,set the expression equal to 0
p3÷12−14=0
Rewrite the expression
12p3−14=0
Subtract the terms
More Steps

Simplify
12p3−14
Reduce fractions to a common denominator
12p3−1214×12
Write all numerators above the common denominator
12p3−14×12
Multiply the numbers
12p3−168
12p3−168=0
Simplify
p3−168=0
Move the constant to the right side
p3=168
Take the 3-th root on both sides of the equation
3p3=3168
Calculate
p=3168
Solution
More Steps

Evaluate
3168
Write the expression as a product where the root of one of the factors can be evaluated
38×21
Write the number in exponential form with the base of 2
323×21
The root of a product is equal to the product of the roots of each factor
323×321
Reduce the index of the radical and exponent with 3
2321
p=2321
Alternative Form
p≈5.517848
Show Solution
