Question
Simplify the expression
51k3−1
Evaluate
k3×51−1
Solution
51k3−1
Show Solution

Find the roots
k=5132601
Alternative Form
k≈0.269656
Evaluate
k3×51−1
To find the roots of the expression,set the expression equal to 0
k3×51−1=0
Use the commutative property to reorder the terms
51k3−1=0
Move the constant to the right-hand side and change its sign
51k3=0+1
Removing 0 doesn't change the value,so remove it from the expression
51k3=1
Divide both sides
5151k3=511
Divide the numbers
k3=511
Take the 3-th root on both sides of the equation
3k3=3511
Calculate
k=3511
Solution
More Steps

Evaluate
3511
To take a root of a fraction,take the root of the numerator and denominator separately
35131
Simplify the radical expression
3511
Multiply by the Conjugate
351×35123512
Simplify
351×351232601
Multiply the numbers
More Steps

Evaluate
351×3512
The product of roots with the same index is equal to the root of the product
351×512
Calculate the product
3513
Reduce the index of the radical and exponent with 3
51
5132601
k=5132601
Alternative Form
k≈0.269656
Show Solution
