Solve 15/9*48+sqrt{54}

$$\frac{ 15 }{ 9 } \times 48+ \sqrt{ 54 }$$

Evaluate

$$3\sqrt{6}+80\approx 87.348469228$$

Solution Steps

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{3}\times 48+\sqrt{54}$$

Express \frac{5}{3}\times 48 as a single fraction.

$$\frac{5\times 48}{3}+\sqrt{54}$$

Multiply 5 and 48 to get 240.

$$\frac{240}{3}+\sqrt{54}$$

Divide 240 by 3 to get 80.

$$80+\sqrt{54}$$

Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.

$$80+3\sqrt{6}$$