Solve g^3510-90820

Question

Simplify the expression

510 g^{3} - 90820

Evaluate

g^{3} \times 510 - 90820

Solution

510 g^{3} - 90820

Show Solution

10 (51 g^{3} - 9082)

Evaluate

g^{3} \times 510 - 90820

Use the commutative property to reorder the terms

510 g^{3} - 90820

Solution

10 (51 g^{3} - 9082)

Show Solution

g = \frac{3 23622282}{51}

Alternative Form

g \approx 5.626052

Evaluate

g^{3} \times 510 - 90820

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

g^{3} \times 510 - 90820 = 0

Use the commutative property to reorder the terms

510 g^{3} - 90820 = 0

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

510 g^{3} = 0 + 90820

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

510 g^{3} = 90820

Divide both sides

\frac{510 g ^{3}}{510} = \frac{90820}{510}

Divide the numbers

g^{3} = \frac{90820}{510}

Cancel out the common factor 10

g^{3} = \frac{9082}{51}

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

3 g^{3} = 3 \frac{9082}{51}

Calculate

g = 3 \frac{9082}{51}

Solution

More Steps

Evaluate

3 \frac{9082}{51}

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

\frac{3 9082}{3 51}

Multiply by the Conjugate

\frac{3 9082 \times 3 5 1 ^{2}}{3 51 \times 3 5 1 ^{2}}

Simplify

\frac{3 9082 \times 3 2601}{3 51 \times 3 5 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

39082 \times 32601

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

3 9082 \times 2601

Calculate the product

323622282

\frac{3 23622282}{3 51 \times 3 5 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

351 \times 3 5 1^{2}

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

3 51 \times 5 1^{2}

Calculate the product

3 5 1^{3}

Reduce the index of the radical and exponent with 3

51

\frac{3 23622282}{51}

g = \frac{3 23622282}{51}

Alternative Form

g \approx 5.626052

Show Solution