Solve ( root()(4 h)-2)/h

Evaluate

\frac{4 h - 2}{h}

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

\frac{4 h - 2}{h} = 0

Find the domain

More Steps

\frac{4 h - 2}{h} = 0, h > 0

Calculate

\frac{4 h - 2}{h} = 0

Simplify the root

More Steps

\frac{2 h - 2}{h} = 0

Cross multiply

2 h - 2 = h \times 0

Simplify the equation

2 h - 2 = 0

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

2 h = 2

Divide both sides of the equation by 2

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