Solve sqrt{3+3+3+3+3+3+3+3+3+3+3}

$$\sqrt{ 3+3+3+3+3+3+3+3+3+3+3 }$$

Evaluate

$$\sqrt{33}\approx 5.744562647$$

Solution Steps

Add 3 and 3 to get 6.

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

Add 6 and 3 to get 9.

$$\sqrt{9+3+3+3+3+3+3+3+3}$$

Add 9 and 3 to get 12.

$$\sqrt{12+3+3+3+3+3+3+3}$$

Add 12 and 3 to get 15.

$$\sqrt{15+3+3+3+3+3+3}$$

Add 15 and 3 to get 18.

$$\sqrt{18+3+3+3+3+3}$$

Add 18 and 3 to get 21.

$$\sqrt{21+3+3+3+3}$$

Add 21 and 3 to get 24.

$$\sqrt{24+3+3+3}$$

Add 24 and 3 to get 27.

$$\sqrt{27+3+3}$$

Add 27 and 3 to get 30.

$$\sqrt{30+3}$$

Add 30 and 3 to get 33.

$$\sqrt{33}$$