Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
8g3−152
Evaluate
8g3−19
Reduce fractions to a common denominator
8g3−819×8
Write all numerators above the common denominator
8g3−19×8
Solution
8g3−152
Show Solution
Find the roots
g=2319
Alternative Form
g≈5.336803
Evaluate
8g3−19
To find the roots of the expression,set the expression equal to 0
8g3−19=0
Subtract the terms
More Steps
Simplify
8g3−19
Reduce fractions to a common denominator
8g3−819×8
Write all numerators above the common denominator
8g3−19×8
Multiply the numbers
8g3−152
8g3−152=0
Simplify
g3−152=0
Move the constant to the right side
g3=152
Take the 3-th root on both sides of the equation
3g3=3152
Calculate
g=3152
Solution
More Steps
Evaluate
3152
Write the expression as a product where the root of one of the factors can be evaluated
38×19
Write the number in exponential form with the base of 2
323×19
The root of a product is equal to the product of the roots of each factor
323×319
Reduce the index of the radical and exponent with 3
2319
g=2319
Alternative Form
g≈5.336803
Show Solution