Question
Simplify the expression
968d3−100
Evaluate
d×d2×968−100
Solution
More Steps

Evaluate
d×d2×968
Multiply the terms with the same base by adding their exponents
d1+2×968
Add the numbers
d3×968
Use the commutative property to reorder the terms
968d3
968d3−100
Show Solution

Factor the expression
4(242d3−25)
Evaluate
d×d2×968−100
Multiply
More Steps

Evaluate
d×d2×968
Multiply the terms with the same base by adding their exponents
d1+2×968
Add the numbers
d3×968
Use the commutative property to reorder the terms
968d3
968d3−100
Solution
4(242d3−25)
Show Solution

Find the roots
d=2231100
Alternative Form
d≈0.469218
Evaluate
d×d2×968−100
To find the roots of the expression,set the expression equal to 0
d×d2×968−100=0
Multiply
More Steps

Multiply the terms
d×d2×968
Multiply the terms with the same base by adding their exponents
d1+2×968
Add the numbers
d3×968
Use the commutative property to reorder the terms
968d3
968d3−100=0
Move the constant to the right-hand side and change its sign
968d3=0+100
Removing 0 doesn't change the value,so remove it from the expression
968d3=100
Divide both sides
968968d3=968100
Divide the numbers
d3=968100
Cancel out the common factor 4
d3=24225
Take the 3-th root on both sides of the equation
3d3=324225
Calculate
d=324225
Solution
More Steps

Evaluate
324225
To take a root of a fraction,take the root of the numerator and denominator separately
3242325
Multiply by the Conjugate
3242×32422325×32422
Simplify
3242×32422325×11344
Multiply the numbers
More Steps

Evaluate
325×11344
Multiply the terms
31100×11
Use the commutative property to reorder the terms
1131100
3242×324221131100
Multiply the numbers
More Steps

Evaluate
3242×32422
The product of roots with the same index is equal to the root of the product
3242×2422
Calculate the product
32423
Reduce the index of the radical and exponent with 3
242
2421131100
Cancel out the common factor 11
2231100
d=2231100
Alternative Form
d≈0.469218
Show Solution
