Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?

A.) It is rational and equal to 12.

B.) It is rational and equal to 18.

C.) It is irrational and equal to 6 + 2square root of 18.

D.) It is irrational and equal to 3 +square root of 18.

Question

Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?

A.) It is rational and equal to 12.

B.) It is rational and equal to 18.

C.) It is irrational and equal to 6 + 2square root of 18.

D.) It is irrational and equal to 3 +square root of 18.

solomonzelman · Answer

$$\color{blue}{  2(3\sqrt{2} +\sqrt{14} ) } $$$$\color{blue}{  2(3\sqrt{2} +\sqrt{2}\sqrt{7} ) } $$$$\color{blue}{  2\sqrt{2}~(3+\sqrt{7} ) } $$

The choices to me seem abstruse, sorry.

solomonzelman · Answer

square root of 14, would be changed in any way.

solomonzelman · Answer

would NOT be, I meant.

anonymous · Answer

Its ok can you help with others

solomonzelman · Answer

Yeah, but you would have to open a new question for that.

anonymous · Answer

ok