Solve g^3268-80001

Question

Simplify the expression

268 g^{3} - 80001

Evaluate

g^{3} \times 268 - 80001

Solution

268 g^{3} - 80001

Show Solution

g = \frac{3 3 2963 \times 26 8 ^{2}}{268}

Alternative Form

g \approx 6.683237

Evaluate

g^{3} \times 268 - 80001

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

g^{3} \times 268 - 80001 = 0

Use the commutative property to reorder the terms

268 g^{3} - 80001 = 0

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

268 g^{3} = 0 + 80001

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

268 g^{3} = 80001

Divide both sides

\frac{268 g ^{3}}{268} = \frac{80001}{268}

Divide the numbers

g^{3} = \frac{80001}{268}

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

3 g^{3} = 3 \frac{80001}{268}

Calculate

g = 3 \frac{80001}{268}

Solution

More Steps

Evaluate

3 \frac{80001}{268}

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

\frac{3 80001}{3 268}

Simplify the radical expression

More Steps

Evaluate

380001

Write the expression as a product where the root of one of the factors can be evaluated

3 27 \times 2963

Write the number in exponential form with the base of 3

3 3^{3} \times 2963

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

3 3^{3} \times 32963

Reduce the index of the radical and exponent with 3

332963

\frac{3 3 2963}{3 268}

Multiply by the Conjugate

\frac{3 3 2963 \times 3 26 8 ^{2}}{3 268 \times 3 26 8 ^{2}}

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

\frac{3 3 2963 \times 26 8 ^{2}}{3 268 \times 3 26 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

3268 \times 3 26 8^{2}

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

3 268 \times 26 8^{2}

Calculate the product

3 26 8^{3}

Reduce the index of the radical and exponent with 3

268

\frac{3 3 2963 \times 26 8 ^{2}}{268}

g = \frac{3 3 2963 \times 26 8 ^{2}}{268}

Alternative Form

g \approx 6.683237

Show Solution