Solve \(\frac{\sqrt{16 h}-4}{h}\)

Evaluate

(\frac{16 h - 4}{h})

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

\frac{16 h - 4}{h} = 0

Find the domain

More Steps

\frac{16 h - 4}{h} = 0, h > 0

Calculate

\frac{16 h - 4}{h} = 0

Simplify the root

More Steps

\frac{4 h - 4}{h} = 0

Cross multiply

4 h - 4 = h \times 0

Simplify the equation

4 h - 4 = 0

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

4 h = 4

Divide both sides of the equation by 4

h = 1

Raise both sides of the equation to the 2 -th power to eliminate the isolated 2 -th root

(h)^{2} = 1^{2}

Evaluate the power

h = 1

Check if the solution is in the defined range

h = 1, h > 0

Solution

h = 1

Simplify the expression