Question
Simplify the expression
444r3−8
Evaluate
r3×444−8
Solution
444r3−8
Show Solution

Factor the expression
4(111r3−2)
Evaluate
r3×444−8
Use the commutative property to reorder the terms
444r3−8
Solution
4(111r3−2)
Show Solution

Find the roots
r=111324642
Alternative Form
r≈0.262162
Evaluate
r3×444−8
To find the roots of the expression,set the expression equal to 0
r3×444−8=0
Use the commutative property to reorder the terms
444r3−8=0
Move the constant to the right-hand side and change its sign
444r3=0+8
Removing 0 doesn't change the value,so remove it from the expression
444r3=8
Divide both sides
444444r3=4448
Divide the numbers
r3=4448
Cancel out the common factor 4
r3=1112
Take the 3-th root on both sides of the equation
3r3=31112
Calculate
r=31112
Solution
More Steps

Evaluate
31112
To take a root of a fraction,take the root of the numerator and denominator separately
311132
Multiply by the Conjugate
3111×3111232×31112
Simplify
3111×3111232×312321
Multiply the numbers
More Steps

Evaluate
32×312321
The product of roots with the same index is equal to the root of the product
32×12321
Calculate the product
324642
3111×31112324642
Multiply the numbers
More Steps

Evaluate
3111×31112
The product of roots with the same index is equal to the root of the product
3111×1112
Calculate the product
31113
Reduce the index of the radical and exponent with 3
111
111324642
r=111324642
Alternative Form
r≈0.262162
Show Solution
