Solve 7+48/sqrt{9*sqrt{49+24*24}}

$$\frac { 7 + 48 } { \sqrt { 9 } \times \sqrt { 49 + 24 \times 24 } }$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Add 7 and 48 to get 55.

$$\frac{55}{\sqrt{9}\sqrt{49+24\times 24}}$$

Calculate the square root of 9 and get 3.

$$\frac{55}{3\sqrt{49+24\times 24}}$$

Multiply 24 and 24 to get 576.

$$\frac{55}{3\sqrt{49+576}}$$

Add 49 and 576 to get 625.

$$\frac{55}{3\sqrt{625}}$$

Calculate the square root of 625 and get 25.

$$\frac{55}{3\times 25}$$

Multiply 3 and 25 to get 75.

$$\frac{55}{75}$$

Reduce the fraction \frac{55}{75} to lowest terms by extracting and canceling out 5.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$