Solve h^3860-4-0 - ScanMath

Question

Simplify the expression

860 h^{3} - 4

Evaluate

h^{3} \times 860 - 4 - 0

Use the commutative property to reorder the terms

860 h^{3} - 4 - 0

Solution

860 h^{3} - 4

Show Solution

4 (215 h^{3} - 1)

Evaluate

h^{3} \times 860 - 4 - 0

Use the commutative property to reorder the terms

860 h^{3} - 4 - 0

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

860 h^{3} - 4

Solution

4 (215 h^{3} - 1)

Show Solution

h = \frac{3 46225}{215}

Alternative Form

h \approx 0.166925

Evaluate

h^{3} \times 860 - 4 - 0

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

h^{3} \times 860 - 4 - 0 = 0

Use the commutative property to reorder the terms

860 h^{3} - 4 - 0 = 0

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

860 h^{3} - 4 = 0

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

860 h^{3} = 0 + 4

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

860 h^{3} = 4

Divide both sides

\frac{860 h ^{3}}{860} = \frac{4}{860}

Divide the numbers

h^{3} = \frac{4}{860}

Cancel out the common factor 4

h^{3} = \frac{1}{215}

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

3 h^{3} = 3 \frac{1}{215}

Calculate

h = 3 \frac{1}{215}

Solution

More Steps

Evaluate

3 \frac{1}{215}

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

\frac{3 1}{3 215}

Simplify the radical expression

\frac{1}{3 215}

Multiply by the Conjugate

\frac{3 21 5 ^{2}}{3 215 \times 3 21 5 ^{2}}

Simplify

\frac{3 46225}{3 215 \times 3 21 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

3215 \times 3 21 5^{2}

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

3 215 \times 21 5^{2}

Calculate the product

3 21 5^{3}

Reduce the index of the radical and exponent with 3

215

\frac{3 46225}{215}

h = \frac{3 46225}{215}

Alternative Form

h \approx 0.166925

Show Solution