Solve (4 h)^2 (4 h) - 6

Question

Simplify the expression

64 h^{3} - 6

Show Solution

2 (32 h^{3} - 3)

Show Solution

h = \frac{3 6}{4}

Alternative Form

h \approx 0.45428

Evaluate

(4 h)^{2} (4 h) - 6

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

(4 h)^{2} (4 h) - 6 = 0

Multiply the terms

(4 h)^{2} \times 4 h - 6 = 0

Multiply the terms

More Steps

64 h^{3} - 6 = 0

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

64 h^{3} = 0 + 6

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

64 h^{3} = 6

Divide both sides

\frac{64 h ^{3}}{64} = \frac{6}{64}

Divide the numbers

h^{3} = \frac{6}{64}

Cancel out the common factor 2

h^{3} = \frac{3}{32}

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

3 h^{3} = 3 \frac{3}{32}

Calculate

h = 3 \frac{3}{32}

Simplify the root

More Steps

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

Solution

h = \frac{3 6}{4}

Alternative Form

h \approx 0.45428

Show Solution