Question
Simplify the expression
34d3−1
Evaluate
d3×34−1
Solution
34d3−1
Show Solution

Find the roots
d=3431156
Alternative Form
d≈0.308679
Evaluate
d3×34−1
To find the roots of the expression,set the expression equal to 0
d3×34−1=0
Use the commutative property to reorder the terms
34d3−1=0
Move the constant to the right-hand side and change its sign
34d3=0+1
Removing 0 doesn't change the value,so remove it from the expression
34d3=1
Divide both sides
3434d3=341
Divide the numbers
d3=341
Take the 3-th root on both sides of the equation
3d3=3341
Calculate
d=3341
Solution
More Steps

Evaluate
3341
To take a root of a fraction,take the root of the numerator and denominator separately
33431
Simplify the radical expression
3341
Multiply by the Conjugate
334×33423342
Simplify
334×334231156
Multiply the numbers
More Steps

Evaluate
334×3342
The product of roots with the same index is equal to the root of the product
334×342
Calculate the product
3343
Reduce the index of the radical and exponent with 3
34
3431156
d=3431156
Alternative Form
d≈0.308679
Show Solution
