Solve h^3113-5-0 - ScanMath

Question

Simplify the expression

113 h^{3} - 5

Evaluate

h^{3} \times 113 - 5 - 0

Use the commutative property to reorder the terms

113 h^{3} - 5 - 0

Solution

113 h^{3} - 5

Show Solution

h = \frac{3 63845}{113}

Alternative Form

h \approx 0.353696

Evaluate

h^{3} \times 113 - 5 - 0

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

h^{3} \times 113 - 5 - 0 = 0

Use the commutative property to reorder the terms

113 h^{3} - 5 - 0 = 0

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

113 h^{3} - 5 = 0

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

113 h^{3} = 0 + 5

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

113 h^{3} = 5

Divide both sides

\frac{113 h ^{3}}{113} = \frac{5}{113}

Divide the numbers

h^{3} = \frac{5}{113}

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

3 h^{3} = 3 \frac{5}{113}

Calculate

h = 3 \frac{5}{113}

Solution

More Steps

Evaluate

3 \frac{5}{113}

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

\frac{3 5}{3 113}

Multiply by the Conjugate

\frac{3 5 \times 3 11 3 ^{2}}{3 113 \times 3 11 3 ^{2}}

Simplify

\frac{3 5 \times 3 12769}{3 113 \times 3 11 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 312769

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

3 5 \times 12769

Calculate the product

363845

\frac{3 63845}{3 113 \times 3 11 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3113 \times 3 11 3^{2}

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

3 113 \times 11 3^{2}

Calculate the product

3 11 3^{3}

Reduce the index of the radical and exponent with 3

113

\frac{3 63845}{113}

h = \frac{3 63845}{113}

Alternative Form

h \approx 0.353696

Show Solution