Solve x^(1/2)(7x 8)^(-1/2)

Evaluate

x^{\frac{1}{2}} (7 x \times 8)^{- \frac{1}{2}}

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

x^{\frac{1}{2}} (7 x \times 8)^{- \frac{1}{2}} = 0

Find the domain

More Steps

x^{\frac{1}{2}} (7 x \times 8)^{- \frac{1}{2}} = 0, x > 0

Calculate

x^{\frac{1}{2}} (7 x \times 8)^{- \frac{1}{2}} = 0

Multiply the terms

x^{\frac{1}{2}} (56 x)^{- \frac{1}{2}} = 0

Multiply the terms

More Steps

\frac{1}{5 6 ^{\frac{1}{2}}} = 0

Multiply both sides of the equation by LCD

\frac{1}{5 6 ^{\frac{1}{2}}} \times 5 6^{\frac{1}{2}} = 0 \times 5 6^{\frac{1}{2}}

Simplify the equation

1 = 0 \times 5 6^{\frac{1}{2}}

Any expression multiplied by 0 equals 0

1 = 0

Solution

x \in \emptyset

Simplify the expression