Solve u_{2}=sqrt{8}*v_{6}

$$u _ { 2 } = \sqrt { 8 } \times v _ { 6 }$$

Solve for v_6

$$v_{6}=\frac{\sqrt{2}u_{2}}{4}$$

Steps for Solving Linear Equation

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$u_{2}=2\sqrt{2}v_{6}$$

Swap sides so that all variable terms are on the left hand side.

$$2\sqrt{2}v_{6}=u_{2}$$

Divide both sides by 2\sqrt{2}.

$$\frac{2\sqrt{2}v_{6}}{2\sqrt{2}}=\frac{u_{2}}{2\sqrt{2}}$$

Dividing by 2\sqrt{2} undoes the multiplication by 2\sqrt{2}.

$$v_{6}=\frac{u_{2}}{2\sqrt{2}}$$

Divide u_{2} by 2\sqrt{2}.

$$v_{6}=\frac{\sqrt{2}u_{2}}{4}$$

Solve for u_2

$$u_{2}=2\sqrt{2}v_{6}$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$u_{2}=2\sqrt{2}v_{6}$$