Solve 42537579/1-76 b^3

Question

Simplify the expression

42537579 - 76 b^{3}

Evaluate

\frac{42537579}{1} - 76 b^{3}

Solution

42537579 - 76 b^{3}

Show Solution

b = \frac{3 30712132038}{38}

Alternative Form

b \approx 82.411229

Evaluate

\frac{42537579}{1} - 76 b^{3}

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

\frac{42537579}{1} - 76 b^{3} = 0

Divide the terms

42537579 - 76 b^{3} = 0

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

- 76 b^{3} = 0 - 42537579

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

- 76 b^{3} = - 42537579

Change the signs on both sides of the equation

76 b^{3} = 42537579

Divide both sides

\frac{76 b ^{3}}{76} = \frac{42537579}{76}

Divide the numbers

b^{3} = \frac{42537579}{76}

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

3 b^{3} = 3 \frac{42537579}{76}

Calculate

b = 3 \frac{42537579}{76}

Solution

More Steps

Evaluate

3 \frac{42537579}{76}

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

\frac{3 42537579}{3 76}

Multiply by the Conjugate

\frac{3 42537579 \times 3 7 6 ^{2}}{3 76 \times 3 7 6 ^{2}}

Simplify

\frac{3 42537579 \times 2 3 722}{3 76 \times 3 7 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

342537579 \times 23722

Multiply the terms

330712132038 \times 2

Use the commutative property to reorder the terms

2330712132038

\frac{2 3 30712132038}{3 76 \times 3 7 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

376 \times 3 7 6^{2}

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

3 76 \times 7 6^{2}

Calculate the product

3 7 6^{3}

Reduce the index of the radical and exponent with 3

76

\frac{2 3 30712132038}{76}

Cancel out the common factor 2

\frac{3 30712132038}{38}

b = \frac{3 30712132038}{38}

Alternative Form

b \approx 82.411229

Show Solution