Question

What is the standard form of (1+2 square root of -3) / (1+ square root of -3)

Answer 1

Explanation:

`\[(1+2√(-3) )/(1+√(-3) ) =(1+2√(-3) )/(1+√(-3) ) * (1-√(-3) )/(1-√(-3) ) =((1+2√(-3))(1-√(-3) ) )/(1^(2)-(√(-3))^(2)   ) =(1+2√(-3)-√(-3)-2(√(-3)  )^(2)  )/(4) =(1+√(-3)+6 )/(4) =(7+√(-3) )/(4) \]`