Question
Simplify the expression
288g3−54
Evaluate
6g2×48g−54
Solution
More Steps

Evaluate
6g2×48g
Multiply the terms
288g2×g
Multiply the terms with the same base by adding their exponents
288g2+1
Add the numbers
288g3
288g3−54
Show Solution

Factor the expression
18(16g3−3)
Evaluate
6g2×48g−54
Multiply
More Steps

Evaluate
6g2×48g
Multiply the terms
288g2×g
Multiply the terms with the same base by adding their exponents
288g2+1
Add the numbers
288g3
288g3−54
Solution
18(16g3−3)
Show Solution

Find the roots
g=4312
Alternative Form
g≈0.572357
Evaluate
6g2×48g−54
To find the roots of the expression,set the expression equal to 0
6g2×48g−54=0
Multiply
More Steps

Multiply the terms
6g2×48g
Multiply the terms
288g2×g
Multiply the terms with the same base by adding their exponents
288g2+1
Add the numbers
288g3
288g3−54=0
Move the constant to the right-hand side and change its sign
288g3=0+54
Removing 0 doesn't change the value,so remove it from the expression
288g3=54
Divide both sides
288288g3=28854
Divide the numbers
g3=28854
Cancel out the common factor 18
g3=163
Take the 3-th root on both sides of the equation
3g3=3163
Calculate
g=3163
Solution
More Steps

Evaluate
3163
To take a root of a fraction,take the root of the numerator and denominator separately
31633
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
23233
Multiply by the Conjugate
232×32233×322
Simplify
232×32233×34
Multiply the numbers
More Steps

Evaluate
33×34
The product of roots with the same index is equal to the root of the product
33×4
Calculate the product
312
232×322312
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
4312
g=4312
Alternative Form
g≈0.572357
Show Solution
