Solve h^3038-3-0 - ScanMath

Question

Simplify the expression

38 h^{3} - 3

Evaluate

h^{3} \times 38 - 3 - 0

Use the commutative property to reorder the terms

38 h^{3} - 3 - 0

Solution

38 h^{3} - 3

Show Solution

h = \frac{3 4332}{38}

Alternative Form

h \approx 0.428989

Evaluate

h^{3} \times 38 - 3 - 0

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

h^{3} \times 38 - 3 - 0 = 0

Use the commutative property to reorder the terms

38 h^{3} - 3 - 0 = 0

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

38 h^{3} - 3 = 0

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

38 h^{3} = 0 + 3

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

38 h^{3} = 3

Divide both sides

\frac{38 h ^{3}}{38} = \frac{3}{38}

Divide the numbers

h^{3} = \frac{3}{38}

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

3 h^{3} = 3 \frac{3}{38}

Calculate

h = 3 \frac{3}{38}

Solution

More Steps

Evaluate

3 \frac{3}{38}

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

\frac{3 3}{3 38}

Multiply by the Conjugate

\frac{3 3 \times 3 3 8 ^{2}}{3 38 \times 3 3 8 ^{2}}

Simplify

\frac{3 3 \times 3 1444}{3 38 \times 3 3 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 31444

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

3 3 \times 1444

Calculate the product

34332

\frac{3 4332}{3 38 \times 3 3 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

338 \times 3 3 8^{2}

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

3 38 \times 3 8^{2}

Calculate the product

3 3 8^{3}

Reduce the index of the radical and exponent with 3

38

\frac{3 4332}{38}

h = \frac{3 4332}{38}

Alternative Form

h \approx 0.428989

Show Solution