Solve {l}{-sqrt{27}}{*15/44}

$$\left. \begin{array} { l } { - \sqrt { 27 } } \\ { \times \frac { 15 } { 44 } } \end{array} \right.$$

Evaluate

$$-\frac{45\sqrt{3}}{44}\approx -1.771415599$$

Solution Steps

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$\left(-3\sqrt{3}\right)\times \frac{15}{44}$$

Multiply -1 and 3 to get -3.

$$-3\sqrt{3}\times \frac{15}{44}$$

Express -3\times \frac{15}{44} as a single fraction.

$$\frac{-3\times 15}{44}\sqrt{3}$$

Multiply -3 and 15 to get -45.

$$\frac{-45}{44}\sqrt{3}$$

Fraction \frac{-45}{44} can be rewritten as -\frac{45}{44} by extracting the negative sign.

$$-\frac{45}{44}\sqrt{3}$$