Solve h^3928-1 - ScanMath

Question

Simplify the expression

928 h^{3} - 1

Evaluate

h^{3} \times 928 - 1

Solution

928 h^{3} - 1

Show Solution

h = \frac{3 1682}{116}

Alternative Form

h \approx 0.102522

Evaluate

h^{3} \times 928 - 1

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

h^{3} \times 928 - 1 = 0

Use the commutative property to reorder the terms

928 h^{3} - 1 = 0

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

928 h^{3} = 0 + 1

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

928 h^{3} = 1

Divide both sides

\frac{928 h ^{3}}{928} = \frac{1}{928}

Divide the numbers

h^{3} = \frac{1}{928}

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

3 h^{3} = 3 \frac{1}{928}

Calculate

h = 3 \frac{1}{928}

Solution

More Steps

Evaluate

3 \frac{1}{928}

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

\frac{3 1}{3 928}

Simplify the radical expression

\frac{1}{3 928}

Simplify the radical expression

More Steps

Evaluate

3928

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 116

Write the number in exponential form with the base of 2

3 2^{3} \times 116

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 3116

Reduce the index of the radical and exponent with 3

23116

\frac{1}{2 3 116}

Multiply by the Conjugate

\frac{3 11 6 ^{2}}{2 3 116 \times 3 11 6 ^{2}}

Simplify

\frac{2 3 1682}{2 3 116 \times 3 11 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

23116 \times 3 11 6^{2}

Multiply the terms

2 \times 116

Multiply the terms

232

\frac{2 3 1682}{232}

Cancel out the common factor 2

\frac{3 1682}{116}

h = \frac{3 1682}{116}

Alternative Form

h \approx 0.102522

Show Solution