Solve (3sqrt{8})*(3sqrt{8})+(8sqrt{3})*(8sqrt{3})-2(sqrt{24})*2(sqrt{24})

$$(3 \sqrt{ 8 } ) \times (3 \sqrt{ 8 } )+(8 \sqrt{ 3 } ) \times (8 \sqrt{ 3 } )-2( \sqrt{ 24 } ) \times 2( \sqrt{ 24 } )$$

Evaluate

$$168$$

Solution Steps

Multiply \sqrt{8} and \sqrt{8} to get 8.

$$3\times 8\times 3+8\sqrt{3}\times 8\sqrt{3}-2\times 2\sqrt{24}\sqrt{24}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$3\times 8\times 3+8\times 3\times 8-2\times 2\sqrt{24}\sqrt{24}$$

Multiply \sqrt{24} and \sqrt{24} to get 24.

$$3\times 8\times 3+8\times 3\times 8-2\times 2\times 24$$

Multiply 3 and 8 to get 24. Multiply 8 and 3 to get 24.

$$24\times 3+24\times 8-2\times 2\times 24$$

Multiply 24 and 3 to get 72.

$$72+24\times 8-2\times 2\times 24$$

Multiply 24 and 8 to get 192.

$$72+192-2\times 2\times 24$$

Add 72 and 192 to get 264.

$$264-2\times 2\times 24$$

Multiply 2 and 2 to get 4.

$$264-4\times 24$$

Multiply 4 and 24 to get 96.

$$264-96$$

Subtract 96 from 264 to get 168.

$$168$$

Factor

$$2^{3}\times 3\times 7$$