Solve x/1=10/sqrt{2}

$$\frac{ x }{ 1 } = \frac{ 10 }{ \sqrt{ 2 } }$$

Solve for x

$$x=5\sqrt{2}\approx 7.071067812$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$x=\frac{10}{\sqrt{2}}$$

Rationalize the denominator of \frac{10}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$x=\frac{10\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$x=\frac{10\sqrt{2}}{2}$$

Divide 10\sqrt{2} by 2 to get 5\sqrt{2}.

$$x=5\sqrt{2}$$