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professor190 [17]
3 years ago
11

What is the standard form of (1+2sgrt-3)/(1+sgrt-3)?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0

Answer:

\large \boxed{\sf \ \ \dfrac{5-\sqrt{3}}{2} \ \  }

Step-by-step explanation:

Hello,

\dfrac{1+2\sqrt{3}}{1+\sqrt{3}}=\dfrac{(1+2\sqrt{3})(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\ \text{... to eliminate the root in the denominator ...} \\\\=\dfrac{1-\sqrt{3}+2\sqrt{3}-2*3}{(1-3)}\\\\=-\dfrac{1+\sqrt{3}-6}{2}\\\\=-\dfrac{\sqrt{3}-5}{2}\\\\=\dfrac{5-\sqrt{3}}{2}\\

Do not hesitate if you have any question

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X4y(4) = yx2(13), calculate (x+y)2
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Please, for clarity, use " ^ " to denote exponentiation:


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This is an educated guess regarding what you meant to share. Please err on the side of using more parentheses ( ) to show which math operations are to be done first.


Your (x+y)2, better written as (x+y)^2, equals x^2 + 2xy + y^2, when expanded.

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