Solve 3*(2sqrt{2})^2-sqrt{1}

$$3 \cdot ( 2 \sqrt { 2 } ) ^ { 2 } - \sqrt { 1 }$$

Evaluate

$$23$$

Solution Steps

Expand \left(2\sqrt{2}\right)^{2}.

$$3\times 2^{2}\left(\sqrt{2}\right)^{2}-\sqrt{1}$$

Calculate 2 to the power of 2 and get 4.

$$3\times 4\left(\sqrt{2}\right)^{2}-\sqrt{1}$$

The square of \sqrt{2} is 2.

$$3\times 4\times 2-\sqrt{1}$$

Multiply 4 and 2 to get 8.

$$3\times 8-\sqrt{1}$$

Multiply 3 and 8 to get 24.

$$24-\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$24-1$$

Subtract 1 from 24 to get 23.

$$23$$

Factor

$$23$$