Solve 11^2*3/sqrt{143}

$$\frac{ { 11 }^{ 2 } \times 3 }{ \sqrt{ 143 } }$$

Evaluate

$$\frac{33\sqrt{143}}{13}\approx 30.355584963$$

Solution Steps

Calculate 11 to the power of 2 and get 121.

$$\frac{121\times 3}{\sqrt{143}}$$

Multiply 121 and 3 to get 363.

$$\frac{363}{\sqrt{143}}$$

Rationalize the denominator of \frac{363}{\sqrt{143}} by multiplying numerator and denominator by \sqrt{143}.

$$\frac{363\sqrt{143}}{\left(\sqrt{143}\right)^{2}}$$

The square of \sqrt{143} is 143.

$$\frac{363\sqrt{143}}{143}$$

Divide 363\sqrt{143} by 143 to get \frac{33}{13}\sqrt{143}.

$$\frac{33}{13}\sqrt{143}$$