Solve 47406g^321-20

Question

Simplify the expression

995526 g^{3} - 20

Evaluate

47406 g^{3} \times 21 - 20

Solution

995526 g^{3} - 20

Show Solution

2 (497763 g^{3} - 10)

Evaluate

47406 g^{3} \times 21 - 20

Multiply the terms

995526 g^{3} - 20

Solution

2 (497763 g^{3} - 10)

Show Solution

g = \frac{3 10 \times 49776 3 ^{2}}{497763}

Alternative Form

g \approx 0.027185

Evaluate

47406 g^{3} \times 21 - 20

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

47406 g^{3} \times 21 - 20 = 0

Multiply the terms

995526 g^{3} - 20 = 0

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

995526 g^{3} = 0 + 20

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

995526 g^{3} = 20

Divide both sides

\frac{995526 g ^{3}}{995526} = \frac{20}{995526}

Divide the numbers

g^{3} = \frac{20}{995526}

Cancel out the common factor 2

g^{3} = \frac{10}{497763}

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

3 g^{3} = 3 \frac{10}{497763}

Calculate

g = 3 \frac{10}{497763}

Solution

More Steps

Evaluate

3 \frac{10}{497763}

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

\frac{3 10}{3 497763}

Multiply by the Conjugate

\frac{3 10 \times 3 49776 3 ^{2}}{3 497763 \times 3 49776 3 ^{2}}

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

\frac{3 10 \times 49776 3 ^{2}}{3 497763 \times 3 49776 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3497763 \times 3 49776 3^{2}

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

3 497763 \times 49776 3^{2}

Calculate the product

3 49776 3^{3}

Reduce the index of the radical and exponent with 3

497763

\frac{3 10 \times 49776 3 ^{2}}{497763}

g = \frac{3 10 \times 49776 3 ^{2}}{497763}

Alternative Form

g \approx 0.027185

Show Solution