Question
Solve the equation
k=6336
Alternative Form
k≈0.550321
Evaluate
12k2×4k−8=0
Multiply
More Steps

Evaluate
12k2×4k
Multiply the terms
48k2×k
Multiply the terms with the same base by adding their exponents
48k2+1
Add the numbers
48k3
48k3−8=0
Move the constant to the right-hand side and change its sign
48k3=0+8
Removing 0 doesn't change the value,so remove it from the expression
48k3=8
Divide both sides
4848k3=488
Divide the numbers
k3=488
Cancel out the common factor 8
k3=61
Take the 3-th root on both sides of the equation
3k3=361
Calculate
k=361
Solution
More Steps

Evaluate
361
To take a root of a fraction,take the root of the numerator and denominator separately
3631
Simplify the radical expression
361
Multiply by the Conjugate
36×362362
Simplify
36×362336
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
6336
k=6336
Alternative Form
k≈0.550321
Show Solution
