Question
Simplify the expression
440g3−81013
Evaluate
g3×440−81013
Solution
440g3−81013
Show Solution

Find the roots
g=1103245064325
Alternative Form
g≈5.688975
Evaluate
g3×440−81013
To find the roots of the expression,set the expression equal to 0
g3×440−81013=0
Use the commutative property to reorder the terms
440g3−81013=0
Move the constant to the right-hand side and change its sign
440g3=0+81013
Removing 0 doesn't change the value,so remove it from the expression
440g3=81013
Divide both sides
440440g3=44081013
Divide the numbers
g3=44081013
Take the 3-th root on both sides of the equation
3g3=344081013
Calculate
g=344081013
Solution
More Steps

Evaluate
344081013
To take a root of a fraction,take the root of the numerator and denominator separately
3440381013
Simplify the radical expression
More Steps

Evaluate
3440
Write the expression as a product where the root of one of the factors can be evaluated
38×55
Write the number in exponential form with the base of 2
323×55
The root of a product is equal to the product of the roots of each factor
323×355
Reduce the index of the radical and exponent with 3
2355
2355381013
Multiply by the Conjugate
2355×3552381013×3552
Simplify
2355×3552381013×33025
Multiply the numbers
More Steps

Evaluate
381013×33025
The product of roots with the same index is equal to the root of the product
381013×3025
Calculate the product
3245064325
2355×35523245064325
Multiply the numbers
More Steps

Evaluate
2355×3552
Multiply the terms
2×55
Multiply the terms
110
1103245064325
g=1103245064325
Alternative Form
g≈5.688975
Show Solution
