Solve 17:39(33sqrt{3-2}3sqrt{2})

$$17 : 39 ( 33 \sqrt { 3 - 2 } 3 \sqrt { 2 } )$$

Evaluate

$$\frac{561\sqrt{2}}{13}\approx 61.028754499$$

Solution Steps

Express \frac{17}{39}\times 3 as a single fraction.

$$\frac{17\times 3}{39}\times 33\sqrt{3-2}\sqrt{2}$$

Multiply 17 and 3 to get 51.

$$\frac{51}{39}\times 33\sqrt{3-2}\sqrt{2}$$

Reduce the fraction \frac{51}{39} to lowest terms by extracting and canceling out 3.

$$\frac{17}{13}\times 33\sqrt{3-2}\sqrt{2}$$

Express \frac{17}{13}\times 33 as a single fraction.

$$\frac{17\times 33}{13}\sqrt{3-2}\sqrt{2}$$

Multiply 17 and 33 to get 561.

$$\frac{561}{13}\sqrt{3-2}\sqrt{2}$$

Subtract 2 from 3 to get 1.

$$\frac{561}{13}\sqrt{1}\sqrt{2}$$

Calculate the square root of 1 and get 1.

$$\frac{561}{13}\times 1\sqrt{2}$$

Multiply \frac{561}{13} and 1 to get \frac{561}{13}.

$$\frac{561}{13}\sqrt{2}$$