Solve h^3359-21-0

Question

Simplify the expression

359 h^{3} - 21

Evaluate

h^{3} \times 359 - 21 - 0

Use the commutative property to reorder the terms

359 h^{3} - 21 - 0

Solution

359 h^{3} - 21

Show Solution

h = \frac{3 21 \times 35 9 ^{2}}{359}

Alternative Form

h \approx 0.388188

Evaluate

h^{3} \times 359 - 21 - 0

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

h^{3} \times 359 - 21 - 0 = 0

Use the commutative property to reorder the terms

359 h^{3} - 21 - 0 = 0

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

359 h^{3} - 21 = 0

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

359 h^{3} = 0 + 21

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

359 h^{3} = 21

Divide both sides

\frac{359 h ^{3}}{359} = \frac{21}{359}

Divide the numbers

h^{3} = \frac{21}{359}

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

3 h^{3} = 3 \frac{21}{359}

Calculate

h = 3 \frac{21}{359}

Solution

More Steps

Evaluate

3 \frac{21}{359}

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

\frac{3 21}{3 359}

Multiply by the Conjugate

\frac{3 21 \times 3 35 9 ^{2}}{3 359 \times 3 35 9 ^{2}}

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

\frac{3 21 \times 35 9 ^{2}}{3 359 \times 3 35 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

3359 \times 3 35 9^{2}

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

3 359 \times 35 9^{2}

Calculate the product

3 35 9^{3}

Reduce the index of the radical and exponent with 3

359

\frac{3 21 \times 35 9 ^{2}}{359}

h = \frac{3 21 \times 35 9 ^{2}}{359}

Alternative Form

h \approx 0.388188

Show Solution