Solve h^3959-35-0

Question

Simplify the expression

959 h^{3} - 35

Evaluate

h^{3} \times 959 - 35 - 0

Use the commutative property to reorder the terms

959 h^{3} - 35 - 0

Solution

959 h^{3} - 35

Show Solution

7 (137 h^{3} - 5)

Evaluate

h^{3} \times 959 - 35 - 0

Use the commutative property to reorder the terms

959 h^{3} - 35 - 0

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

959 h^{3} - 35

Solution

7 (137 h^{3} - 5)

Show Solution

h = \frac{3 93845}{137}

Alternative Form

h \approx 0.331703

Evaluate

h^{3} \times 959 - 35 - 0

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

h^{3} \times 959 - 35 - 0 = 0

Use the commutative property to reorder the terms

959 h^{3} - 35 - 0 = 0

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

959 h^{3} - 35 = 0

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

959 h^{3} = 0 + 35

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

959 h^{3} = 35

Divide both sides

\frac{959 h ^{3}}{959} = \frac{35}{959}

Divide the numbers

h^{3} = \frac{35}{959}

Cancel out the common factor 7

h^{3} = \frac{5}{137}

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

3 h^{3} = 3 \frac{5}{137}

Calculate

h = 3 \frac{5}{137}

Solution

More Steps

Evaluate

3 \frac{5}{137}

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

\frac{3 5}{3 137}

Multiply by the Conjugate

\frac{3 5 \times 3 13 7 ^{2}}{3 137 \times 3 13 7 ^{2}}

Simplify

\frac{3 5 \times 3 18769}{3 137 \times 3 13 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

35 \times 318769

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

3 5 \times 18769

Calculate the product

393845

\frac{3 93845}{3 137 \times 3 13 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

3137 \times 3 13 7^{2}

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

3 137 \times 13 7^{2}

Calculate the product

3 13 7^{3}

Reduce the index of the radical and exponent with 3

137

\frac{3 93845}{137}

h = \frac{3 93845}{137}

Alternative Form

h \approx 0.331703

Show Solution