Mathematics, 28.06.2019 21:50 bananaslugs
What is the standard form of (1+2 square root of -3) / (1+ square root of -3)
Answers: 1
![\[\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } =\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } \times \frac{1-\sqrt{-3} }{1-\sqrt{-3} } =\frac{(1+2\sqrt{-3})(1-\sqrt{-3} ) }{1^{2}-(\sqrt{-3})^{2} } =\frac{1+2\sqrt{-3}-\sqrt{-3}-2(\sqrt{-3} )^{2} }{4} =\frac{1+\sqrt{-3}+6 }{4} =\frac{7+\sqrt{-3} }{4} \]](/tpl/images/0028/6446/57b53.png)
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What is the standard form of (1+2 square root of -3) / (1+ square root of -3)...
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