Question
Solve the equation
w=234
Alternative Form
w≈0.793701
Evaluate
w2×4w−2=0
Multiply
More Steps

Evaluate
w2×4w
Multiply the terms with the same base by adding their exponents
w2+1×4
Add the numbers
w3×4
Use the commutative property to reorder the terms
4w3
4w3−2=0
Move the constant to the right-hand side and change its sign
4w3=0+2
Removing 0 doesn't change the value,so remove it from the expression
4w3=2
Divide both sides
44w3=42
Divide the numbers
w3=42
Cancel out the common factor 2
w3=21
Take the 3-th root on both sides of the equation
3w3=321
Calculate
w=321
Solution
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
234
w=234
Alternative Form
w≈0.793701
Show Solution
