Solve (3sqrt{2})^2+(2sqrt{3})^2=

$$( 3 \sqrt { 2 } ) ^ { 2 } + ( 2 \sqrt { 3 } ) ^ { 2 } =$$

Evaluate

$$30$$

Solution Steps

Expand \left(3\sqrt{2}\right)^{2}.

$$3^{2}\left(\sqrt{2}\right)^{2}+\left(2\sqrt{3}\right)^{2}$$

Calculate 3 to the power of 2 and get 9.

$$9\left(\sqrt{2}\right)^{2}+\left(2\sqrt{3}\right)^{2}$$

The square of \sqrt{2} is 2.

$$9\times 2+\left(2\sqrt{3}\right)^{2}$$

Multiply 9 and 2 to get 18.

$$18+\left(2\sqrt{3}\right)^{2}$$

Expand \left(2\sqrt{3}\right)^{2}.

$$18+2^{2}\left(\sqrt{3}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$18+4\left(\sqrt{3}\right)^{2}$$

The square of \sqrt{3} is 3.

$$18+4\times 3$$

Multiply 4 and 3 to get 12.

$$18+12$$

Add 18 and 12 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$