Solve h^3561-8 - ScanMath

Question

Simplify the expression

561 h^{3} - 8

Evaluate

h^{3} \times 561 - 8

Solution

561 h^{3} - 8

Show Solution

h = \frac{2 3 56 1 ^{2}}{561}

Alternative Form

h \approx 0.242498

Evaluate

h^{3} \times 561 - 8

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

h^{3} \times 561 - 8 = 0

Use the commutative property to reorder the terms

561 h^{3} - 8 = 0

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

561 h^{3} = 0 + 8

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

561 h^{3} = 8

Divide both sides

\frac{561 h ^{3}}{561} = \frac{8}{561}

Divide the numbers

h^{3} = \frac{8}{561}

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

3 h^{3} = 3 \frac{8}{561}

Calculate

h = 3 \frac{8}{561}

Solution

More Steps

Evaluate

3 \frac{8}{561}

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

\frac{3 8}{3 561}

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}{3 561}

Multiply by the Conjugate

\frac{2 3 56 1 ^{2}}{3 561 \times 3 56 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3561 \times 3 56 1^{2}

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

3 561 \times 56 1^{2}

Calculate the product

3 56 1^{3}

Reduce the index of the radical and exponent with 3

561

\frac{2 3 56 1 ^{2}}{561}

h = \frac{2 3 56 1 ^{2}}{561}

Alternative Form

h \approx 0.242498

Show Solution