Question

√2(3√14 -√7)

Answer 1

\[\sqrt{2}\]
Do you need an explanation?

Answer 2

yeah

Answer 3

are you in college or something? because you seem really smart...

Answer 4

\[\sqrt{2}(3\sqrt{14}-\sqrt{7})\]

Answer 5

\[3\sqrt{28}-\sqrt{2}\sqrt{7}\]

Answer 6

\[6\sqrt{7}-\sqrt{2}\sqrt{7}\]

Answer 7

\[\sqrt{2}(3\sqrt{14} - \sqrt{7})\]\[=3\sqrt{2}\sqrt{14} - \sqrt{2}\sqrt{7}\]\[=3\sqrt{2}\sqrt{14} - \sqrt{2*7}\]\[=3\sqrt{2}\sqrt{14}-\sqrt{14}\]\[=\sqrt{14}(3\sqrt{2}-1)\]\[=\sqrt{14}(2\sqrt{2})\]\[=\sqrt{7}\sqrt{2}(2\sqrt{2})\]\[=4\sqrt{7}\]

Answer 8

crap

Answer 9

which one of you guys is right

Answer 10

It is \[\sqrt{2}\]

Answer 11

one second. checking

Answer 12

\[3\sqrt{2}-1\neq2\sqrt{2}\]

Answer 13

ah, yes. that's the problem

Answer 14

You can calculate the answer from my last step or finish polpak's problem (we're both close).

Answer 15

\[=3\sqrt{2}\sqrt{14} - \sqrt{2}\sqrt{7}\]\[=3\sqrt{2}\sqrt{2}\sqrt{7} - \sqrt{2}\sqrt{7}\]\[=(3*2)\sqrt{7} - \sqrt{2}\sqrt{7}\]\[=(6-\sqrt{2})\sqrt{7}\]