Solve sqrt{41/9}*8/8

$$\sqrt { 4 \frac { 1 } { 9 } } \cdot \frac { 8 } { 8 }$$

Evaluate

$$\frac{\sqrt{37}}{3}\approx 2.02758751$$

Solution Steps

Divide 8 by 8 to get 1.

$$\sqrt{\frac{4\times 9+1}{9}}\times 1$$

Multiply 4 and 9 to get 36.

$$\sqrt{\frac{36+1}{9}}\times 1$$

Add 36 and 1 to get 37.

$$\sqrt{\frac{37}{9}}\times 1$$

Rewrite the square root of the division \sqrt{\frac{37}{9}} as the division of square roots \frac{\sqrt{37}}{\sqrt{9}}.

$$\frac{\sqrt{37}}{\sqrt{9}}\times 1$$

Calculate the square root of 9 and get 3.

$$\frac{\sqrt{37}}{3}\times 1$$

Express \frac{\sqrt{37}}{3}\times 1 as a single fraction.

$$\frac{\sqrt{37}}{3}$$