Solve sqrt{(32^2+19^2)*9.8/44.1}

$$\sqrt { \frac { ( 32 ^ { 2 } + 19 ^ { 2 } ) \times 9.8 } { 44.1 } }$$

Evaluate

$$\frac{\sqrt{2770}}{3}\approx 17.543596489$$

Solution Steps

Calculate 32 to the power of 2 and get 1024.

$$\sqrt{\frac{\left(1024+19^{2}\right)\times 9.8}{44.1}}$$

Calculate 19 to the power of 2 and get 361.

$$\sqrt{\frac{\left(1024+361\right)\times 9.8}{44.1}}$$

Add 1024 and 361 to get 1385.

$$\sqrt{\frac{1385\times 9.8}{44.1}}$$

Multiply 1385 and 9.8 to get 13573.

$$\sqrt{\frac{13573}{44.1}}$$

Expand \frac{13573}{44.1} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{135730}{441}}$$

Reduce the fraction \frac{135730}{441} to lowest terms by extracting and canceling out 49.

$$\sqrt{\frac{2770}{9}}$$

Rewrite the square root of the division \sqrt{\frac{2770}{9}} as the division of square roots \frac{\sqrt{2770}}{\sqrt{9}}.

$$\frac{\sqrt{2770}}{\sqrt{9}}$$

Calculate the square root of 9 and get 3.

$$\frac{\sqrt{2770}}{3}$$