Solve (sqrt{2})^2+(sqrt{5})^2+(sqrt{11})^2

$$( \sqrt { 2 } ) ^ { 2 } + ( \sqrt { 5 } ) ^ { 2 } + ( \sqrt { 11 } ) ^ { 2 }$$

Evaluate

$$18$$

Solution Steps

The square of \sqrt{2} is 2.

$$2+\left(\sqrt{5}\right)^{2}+\left(\sqrt{11}\right)^{2}$$

The square of \sqrt{5} is 5.

$$2+5+\left(\sqrt{11}\right)^{2}$$

Add 2 and 5 to get 7.

$$7+\left(\sqrt{11}\right)^{2}$$

The square of \sqrt{11} is 11.

$$7+11$$

Add 7 and 11 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$