Solve sqrt{(11*82)-1+4*(7^2+1^2)}=

$$\sqrt { ( 11 \times 82 ) - 1 + 4 \times ( 7 ^ { 2 } + 1 ^ { 2 } ) } =$$

Evaluate

$$\sqrt{1101}\approx 33.181320046$$

Solution Steps

Multiply 11 and 82 to get 902.

$$\sqrt{902-1+4\left(7^{2}+1^{2}\right)}$$

Subtract 1 from 902 to get 901.

$$\sqrt{901+4\left(7^{2}+1^{2}\right)}$$

Calculate 7 to the power of 2 and get 49.

$$\sqrt{901+4\left(49+1^{2}\right)}$$

Calculate 1 to the power of 2 and get 1.

$$\sqrt{901+4\left(49+1\right)}$$

Add 49 and 1 to get 50.

$$\sqrt{901+4\times 50}$$

Multiply 4 and 50 to get 200.

$$\sqrt{901+200}$$

Add 901 and 200 to get 1101.

$$\sqrt{1101}$$