pottersheep
Is (+i√15)/5 equal to +i√(3/5) ???? Shouldnt i be over 5???



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TuringTest
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\[\frac{\sqrt{15}}5=\frac{\sqrt{3\cdot5}}5=\sqrt{\frac35}\]

pottersheep
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Thanks, shouldn'tthe i still be over 5 tho?

TuringTest
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nope...

TuringTest
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\[\pm i\frac{\sqrt{15}}5=\pm i\frac{\sqrt{3\cdot5}}5=\pm i\sqrt{\frac{3\cdot5}{25}}=\pm i\sqrt{\frac35}\]

pottersheep
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oo but the i was over 5 to begin with

TuringTest
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but the 5 can move around...

pottersheep
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ok let me try to process this xD

TuringTest
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\[\pm\frac i5\sqrt{15}=\pm i\frac{\sqrt{15}}5=\pm i\frac{\sqrt{3\cdot5}}5=\pm i\sqrt{\frac{3\cdot5}{25}}=\pm i\sqrt{\frac35}\]

TuringTest
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remember that\[\frac{2i}3=i\frac23\]not\[\frac{2i}3=\frac i3\frac23\]

TuringTest
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\[a\frac bc=b\frac ac=\frac{ab}c\]

pottersheep
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:O it is???

pottersheep
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ooo

TuringTest
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what else could it be?

pottersheep
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THANKSSS

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\[\frac{ab}c=a\cdot\frac bc\neq\frac ac\cdot\frac bc\]

TuringTest
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welcome :D