Solve h^3251-2-0 - ScanMath

Question

Simplify the expression

251 h^{3} - 2

Evaluate

h^{3} \times 251 - 2 - 0

Use the commutative property to reorder the terms

251 h^{3} - 2 - 0

Solution

251 h^{3} - 2

Show Solution

h = \frac{3 126002}{251}

Alternative Form

h \approx 0.199734

Evaluate

h^{3} \times 251 - 2 - 0

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

h^{3} \times 251 - 2 - 0 = 0

Use the commutative property to reorder the terms

251 h^{3} - 2 - 0 = 0

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

251 h^{3} - 2 = 0

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

251 h^{3} = 0 + 2

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

251 h^{3} = 2

Divide both sides

\frac{251 h ^{3}}{251} = \frac{2}{251}

Divide the numbers

h^{3} = \frac{2}{251}

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

3 h^{3} = 3 \frac{2}{251}

Calculate

h = 3 \frac{2}{251}

Solution

More Steps

Evaluate

3 \frac{2}{251}

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

\frac{3 2}{3 251}

Multiply by the Conjugate

\frac{3 2 \times 3 25 1 ^{2}}{3 251 \times 3 25 1 ^{2}}

Simplify

\frac{3 2 \times 3 63001}{3 251 \times 3 25 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 363001

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

3 2 \times 63001

Calculate the product

3126002

\frac{3 126002}{3 251 \times 3 25 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3251 \times 3 25 1^{2}

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

3 251 \times 25 1^{2}

Calculate the product

3 25 1^{3}

Reduce the index of the radical and exponent with 3

251

\frac{3 126002}{251}

h = \frac{3 126002}{251}

Alternative Form

h \approx 0.199734

Show Solution