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

Question

Simplify the expression

\frac{7}{4}

Alternative Form

1 \frac{3}{4}

Alternative Form

1.75

Show Solution

x \in \emptyset

Evaluate

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

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

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

Find the domain

More Steps

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

Calculate

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

Multiply the terms

\frac{1}{2} x^{- \frac{1}{2}} (56 x)^{\frac{1}{2}} \times \frac{7}{2} x^{\frac{1}{2}} (7 x \times 8)^{- \frac{1}{2}} = 0

Multiply the terms

\frac{1}{2} x^{- \frac{1}{2}} (56 x)^{\frac{1}{2}} \times \frac{7}{2} x^{\frac{1}{2}} (56 x)^{- \frac{1}{2}} = 0

Multiply

More Steps

\frac{7}{4} = 0

Multiply both sides of the equation by LCD

\frac{7}{4} \times 4 = 0 \times 4

Simplify the equation

7 = 0 \times 4

Any expression multiplied by 0 equals 0

7 = 0

Solution

x \in \emptyset

Show Solution