Solve g^3440-80227

Question

Simplify the expression

440 g^{3} - 80227

Evaluate

g^{3} \times 440 - 80227

Solution

440 g^{3} - 80227

Show Solution

g = \frac{3 242686675}{110}

Alternative Form

g \approx 5.670517

Evaluate

g^{3} \times 440 - 80227

To find the roots of the expression,set the expression equal to 0

g^{3} \times 440 - 80227 = 0

Use the commutative property to reorder the terms

440 g^{3} - 80227 = 0

Move the constant to the right-hand side and change its sign

440 g^{3} = 0 + 80227

Removing 0 doesn't change the value,so remove it from the expression

440 g^{3} = 80227

Divide both sides

\frac{440 g ^{3}}{440} = \frac{80227}{440}

Divide the numbers

g^{3} = \frac{80227}{440}

Take the 3 -th root on both sides of the equation

3 g^{3} = 3 \frac{80227}{440}

Calculate

g = 3 \frac{80227}{440}

Solution

More Steps

Evaluate

3 \frac{80227}{440}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 80227}{3 440}

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

3 8 \times 55

Write the number in exponential form with the base of 2

3 2^{3} \times 55

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 355

Reduce the index of the radical and exponent with 3

2355

\frac{3 80227}{2 3 55}

Multiply by the Conjugate

\frac{3 80227 \times 3 5 5 ^{2}}{2 3 55 \times 3 5 5 ^{2}}

Simplify

\frac{3 80227 \times 3 3025}{2 3 55 \times 3 5 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

380227 \times 33025

The product of roots with the same index is equal to the root of the product

3 80227 \times 3025

Calculate the product

3242686675

\frac{3 242686675}{2 3 55 \times 3 5 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

2355 \times 3 5 5^{2}

Multiply the terms

2 \times 55

Multiply the terms

110

\frac{3 242686675}{110}

g = \frac{3 242686675}{110}

Alternative Form

g \approx 5.670517

Show Solution