Question

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

Answer 1

`\large \boxed{\sf \ \ (5-√(3))/(2) \ \ }`

Explanation:

Hello,

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

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