Solve 15=V/sqrt{4-8^2+10*5^2}

$$15 = \frac { V } { \sqrt { 4 - 8 ^ { 2 } + 10 \cdot 5 ^ { 2 } } }$$

Solve for V

$$V=15\sqrt{190}\approx 206.760731281$$

Steps for Solving Linear Equation

Calculate 8 to the power of 2 and get 64.

$$15=\frac{V}{\sqrt{4-64+10\times 5^{2}}}$$

Subtract 64 from 4 to get -60.

$$15=\frac{V}{\sqrt{-60+10\times 5^{2}}}$$

Calculate 5 to the power of 2 and get 25.

$$15=\frac{V}{\sqrt{-60+10\times 25}}$$

Multiply 10 and 25 to get 250.

$$15=\frac{V}{\sqrt{-60+250}}$$

Add -60 and 250 to get 190.

$$15=\frac{V}{\sqrt{190}}$$

Rationalize the denominator of \frac{V}{\sqrt{190}} by multiplying numerator and denominator by \sqrt{190}.

$$15=\frac{V\sqrt{190}}{\left(\sqrt{190}\right)^{2}}$$

The square of \sqrt{190} is 190.

$$15=\frac{V\sqrt{190}}{190}$$

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

$$\frac{V\sqrt{190}}{190}=15$$

Multiply both sides by 190.

$$V\sqrt{190}=15\times 190$$

Multiply 15 and 190 to get 2850.

$$V\sqrt{190}=2850$$

The equation is in standard form.

$$\sqrt{190}V=2850$$

Divide both sides by \sqrt{190}.

$$\frac{\sqrt{190}V}{\sqrt{190}}=\frac{2850}{\sqrt{190}}$$

Dividing by \sqrt{190} undoes the multiplication by \sqrt{190}.

$$V=\frac{2850}{\sqrt{190}}$$

Divide 2850 by \sqrt{190}.

$$V=15\sqrt{190}$$