Solve 2+5^2-(3)/2/3sqrt{3*158}

$$\frac { \frac { 2 + 5 ^ { 2 } - ( 3 ) } { 2 } } { 3 \sqrt { 3 \times 158 } }$$

Evaluate

$$\frac{2\sqrt{474}}{237}\approx 0.183726085$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\frac{2+25-3}{2}}{3\sqrt{3\times 158}}$$

Add 2 and 25 to get 27.

$$\frac{\frac{27-3}{2}}{3\sqrt{3\times 158}}$$

Subtract 3 from 27 to get 24.

$$\frac{\frac{24}{2}}{3\sqrt{3\times 158}}$$

Divide 24 by 2 to get 12.

$$\frac{12}{3\sqrt{3\times 158}}$$

Multiply 3 and 158 to get 474.

$$\frac{12}{3\sqrt{474}}$$

Rationalize the denominator of \frac{12}{3\sqrt{474}} by multiplying numerator and denominator by \sqrt{474}.

$$\frac{12\sqrt{474}}{3\left(\sqrt{474}\right)^{2}}$$

The square of \sqrt{474} is 474.

$$\frac{12\sqrt{474}}{3\times 474}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{2\sqrt{474}}{237}$$