Solve 1242.xfrac{12/sqrt{545sqrt{1}}}{}

$$\frac{ 1242.x \frac{ 12 }{ \sqrt{ 545 \sqrt{ 1 } } } }{ }$$

Evaluate

$$\frac{14904\sqrt{545}x}{545}$$

Solution Steps

Calculate the square root of 1 and get 1.

$$\frac{1242x\times \frac{12}{\sqrt{545\times 1}}}{1}$$

Multiply 545 and 1 to get 545.

$$\frac{1242x\times \frac{12}{\sqrt{545}}}{1}$$

Rationalize the denominator of \frac{12}{\sqrt{545}} by multiplying numerator and denominator by \sqrt{545}.

$$\frac{1242x\times \frac{12\sqrt{545}}{\left(\sqrt{545}\right)^{2}}}{1}$$

The square of \sqrt{545} is 545.

$$\frac{1242x\times \frac{12\sqrt{545}}{545}}{1}$$

Express 1242\times \frac{12\sqrt{545}}{545} as a single fraction.

$$\frac{\frac{1242\times 12\sqrt{545}}{545}x}{1}$$

Anything divided by one gives itself.

$$\frac{1242\times 12\sqrt{545}}{545}x$$

Express \frac{1242\times 12\sqrt{545}}{545}x as a single fraction.

$$\frac{1242\times 12\sqrt{545}x}{545}$$

Multiply 1242 and 12 to get 14904.

$$\frac{14904\sqrt{545}x}{545}$$

Differentiate w.r.t. x

$$\frac{14904 \sqrt{545}}{545} = 638.417217123149$$