Solve h^3288-8 - ScanMath

Question

Simplify the expression

288 h^{3} - 8

Evaluate

h^{3} \times 288 - 8

Solution

288 h^{3} - 8

Show Solution

8 (36 h^{3} - 1)

Evaluate

h^{3} \times 288 - 8

Use the commutative property to reorder the terms

288 h^{3} - 8

Solution

8 (36 h^{3} - 1)

Show Solution

h = \frac{3 6}{6}

Alternative Form

h \approx 0.302853

Evaluate

h^{3} \times 288 - 8

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

h^{3} \times 288 - 8 = 0

Use the commutative property to reorder the terms

288 h^{3} - 8 = 0

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

288 h^{3} = 0 + 8

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

288 h^{3} = 8

Divide both sides

\frac{288 h ^{3}}{288} = \frac{8}{288}

Divide the numbers

h^{3} = \frac{8}{288}

Cancel out the common factor 8

h^{3} = \frac{1}{36}

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

3 h^{3} = 3 \frac{1}{36}

Calculate

h = 3 \frac{1}{36}

Solution

More Steps

Evaluate

3 \frac{1}{36}

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

\frac{3 1}{3 36}

Simplify the radical expression

\frac{1}{3 36}

Multiply by the Conjugate

\frac{3 3 6 ^{2}}{3 36 \times 3 3 6 ^{2}}

Simplify

\frac{6 3 6}{3 36 \times 3 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

336 \times 3 3 6^{2}

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

3 36 \times 3 6^{2}

Calculate the product

3 3 6^{3}

Transform the expression

3 6^{6}

Reduce the index of the radical and exponent with 3

6^{2}

\frac{6 3 6}{6 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{6}{6 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{6 ^{2 - 1}}

Subtract the terms

\frac{1}{6 ^{1}}

Simplify

\frac{1}{6}

\frac{3 6}{6}

h = \frac{3 6}{6}

Alternative Form

h \approx 0.302853

Show Solution