Solve h^3219-8 - ScanMath

Question

Simplify the expression

219 h^{3} - 8

Evaluate

h^{3} \times 219 - 8

Solution

219 h^{3} - 8

Show Solution

h = \frac{2 3 47961}{219}

Alternative Form

h \approx 0.331804

Evaluate

h^{3} \times 219 - 8

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

h^{3} \times 219 - 8 = 0

Use the commutative property to reorder the terms

219 h^{3} - 8 = 0

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

219 h^{3} = 0 + 8

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

219 h^{3} = 8

Divide both sides

\frac{219 h ^{3}}{219} = \frac{8}{219}

Divide the numbers

h^{3} = \frac{8}{219}

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

3 h^{3} = 3 \frac{8}{219}

Calculate

h = 3 \frac{8}{219}

Solution

More Steps

Evaluate

3 \frac{8}{219}

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

\frac{3 8}{3 219}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{2}{3 219}

Multiply by the Conjugate

\frac{2 3 21 9 ^{2}}{3 219 \times 3 21 9 ^{2}}

Simplify

\frac{2 3 47961}{3 219 \times 3 21 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

3219 \times 3 21 9^{2}

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

3 219 \times 21 9^{2}

Calculate the product

3 21 9^{3}

Reduce the index of the radical and exponent with 3

219

\frac{2 3 47961}{219}

h = \frac{2 3 47961}{219}

Alternative Form

h \approx 0.331804

Show Solution