Question
Simplify the expression
224d3−200
Evaluate
d×d2×224−200
Solution
More Steps

Evaluate
d×d2×224
Multiply the terms with the same base by adding their exponents
d1+2×224
Add the numbers
d3×224
Use the commutative property to reorder the terms
224d3
224d3−200
Show Solution

Factor the expression
8(28d3−25)
Evaluate
d×d2×224−200
Multiply
More Steps

Evaluate
d×d2×224
Multiply the terms with the same base by adding their exponents
d1+2×224
Add the numbers
d3×224
Use the commutative property to reorder the terms
224d3
224d3−200
Solution
8(28d3−25)
Show Solution

Find the roots
d=1432450
Alternative Form
d≈0.962928
Evaluate
d×d2×224−200
To find the roots of the expression,set the expression equal to 0
d×d2×224−200=0
Multiply
More Steps

Multiply the terms
d×d2×224
Multiply the terms with the same base by adding their exponents
d1+2×224
Add the numbers
d3×224
Use the commutative property to reorder the terms
224d3
224d3−200=0
Move the constant to the right-hand side and change its sign
224d3=0+200
Removing 0 doesn't change the value,so remove it from the expression
224d3=200
Divide both sides
224224d3=224200
Divide the numbers
d3=224200
Cancel out the common factor 8
d3=2825
Take the 3-th root on both sides of the equation
3d3=32825
Calculate
d=32825
Solution
More Steps

Evaluate
32825
To take a root of a fraction,take the root of the numerator and denominator separately
328325
Multiply by the Conjugate
328×3282325×3282
Simplify
328×3282325×2398
Multiply the numbers
More Steps

Evaluate
325×2398
Multiply the terms
32450×2
Use the commutative property to reorder the terms
232450
328×3282232450
Multiply the numbers
More Steps

Evaluate
328×3282
The product of roots with the same index is equal to the root of the product
328×282
Calculate the product
3283
Reduce the index of the radical and exponent with 3
28
28232450
Cancel out the common factor 2
1432450
d=1432450
Alternative Form
d≈0.962928
Show Solution
