Solve h^312-1 - ScanMath

Question

Simplify the expression

12 h^{3} - 1

Evaluate

h^{3} \times 12 - 1

Solution

12 h^{3} - 1

Show Solution

h = \frac{3 18}{6}

Alternative Form

h \approx 0.43679

Evaluate

h^{3} \times 12 - 1

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

h^{3} \times 12 - 1 = 0

Use the commutative property to reorder the terms

12 h^{3} - 1 = 0

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

12 h^{3} = 0 + 1

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

12 h^{3} = 1

Divide both sides

\frac{12 h ^{3}}{12} = \frac{1}{12}

Divide the numbers

h^{3} = \frac{1}{12}

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

3 h^{3} = 3 \frac{1}{12}

Calculate

h = 3 \frac{1}{12}

Solution

More Steps

Evaluate

3 \frac{1}{12}

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

\frac{3 1}{3 12}

Simplify the radical expression

\frac{1}{3 12}

Multiply by the Conjugate

\frac{3 1 2 ^{2}}{3 12 \times 3 1 2 ^{2}}

Simplify

\frac{2 3 18}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

312 \times 3 1 2^{2}

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

3 12 \times 1 2^{2}

Calculate the product

3 1 2^{3}

Reduce the index of the radical and exponent with 3

12

\frac{2 3 18}{12}

Cancel out the common factor 2

\frac{3 18}{6}

h = \frac{3 18}{6}

Alternative Form

h \approx 0.43679

Show Solution