Solving Cube Root Equations


Cube root equations are one of the special kinds of equations in algebra.  Cube root variables take the power `(1)/ (3)`. We have to calculate the cube root values for this type of equations.  In this article we have to learn  how to solve cube root equations with suitable example problems.Brief Summary about Solving Cube Root Equations and Examples
Cube roots Example 1:
Solving cube root for the following equation` root (3) (p)` =9 and find the value of p.
Solution:
The given cube root equation is `root (3) (p)` =9
It can be written as `p^(1/3)` = 9
Now we have to cubing the values on both sides, then we have to get the following equation,
`p^((1/3)*3) ` = 93
That is p= 9 x 9 x 9
Multiplying these values we have to get the value of p,
That is p=729
This is the value of a given cube root equation.One more Example Based on Cube Roots:
Cube roots Example 2:
Solving cube root for the following equation 5 `root (3) (r) ` + 1 = 51 and find the value of r.
Solution:
The given cube root equation is 5 `root (3) (r)` + 1 = 51
Now we have to subtract the value 1 on both sides, then we can get,
5` root (3) (r)` - 1 +1 = 51-1
That is 5 `root (3) (r)` =50
Now we have to divide the value 5 on both sides, then we can get,
That is `root (3) (r)` =10
It can be written as r1/3 = 10
Now we have to cubing the values on both sides, then we have to get the following equation,
` r^((1/3)*3)` = 10^3
That is r= 10 x 10 x 10
Multiplying these values we have to get the value of r,
That is r=1000
This is the value of a given cube root equation.
These are the solving problems on cube root equations.