Solve 47300-4g^330

Question

47300 - 4 g^{3} \times 30

Simplify the expression

47300 - 120 g^{3}

Evaluate

47300 - 4 g^{3} \times 30

Solution

47300 - 120 g^{3}

Show Solution

20 (2365 - 6 g^{3})

Evaluate

47300 - 4 g^{3} \times 30

Multiply the terms

47300 - 120 g^{3}

Solution

20 (2365 - 6 g^{3})

Show Solution

g = \frac{3 85140}{6}

Alternative Form

g \approx 7.33207

Evaluate

47300 - 4 g^{3} \times 30

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

47300 - 4 g^{3} \times 30 = 0

Multiply the terms

47300 - 120 g^{3} = 0

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

- 120 g^{3} = 0 - 47300

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

- 120 g^{3} = - 47300

Change the signs on both sides of the equation

120 g^{3} = 47300

Divide both sides

\frac{120 g ^{3}}{120} = \frac{47300}{120}

Divide the numbers

g^{3} = \frac{47300}{120}

Cancel out the common factor 20

g^{3} = \frac{2365}{6}

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

3 g^{3} = 3 \frac{2365}{6}

Calculate

g = 3 \frac{2365}{6}

Solution

More Steps

Evaluate

3 \frac{2365}{6}

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

\frac{3 2365}{3 6}

Multiply by the Conjugate

\frac{3 2365 \times 3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 2365 \times 3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

32365 \times 336

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

3 2365 \times 36

Calculate the product

385140

\frac{3 85140}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 85140}{6}

g = \frac{3 85140}{6}

Alternative Form

g \approx 7.33207

Show Solution