Question

Rationalize the denominator 2/root 3 - 1​

Answer 1

`(2)/( √(3) - 1 ) \\ (2)/( √(3 ) - 1) * ( √(3) + 1)/( √(3) + 1) \\ (2 * ( √(3) + 1))/(( √(3) - 1)( √(3 ) + 1) ) = \frac{2 √(3) + 2}{( √(3) )^(2) - {1}^(2) } \\ (2 √(3) + 2 )/(3 - 1) = (2 √(3) + 2 )/(2) = (2( √(3) + 1))/(2) \\ √(3 ) + 1 = 1.732 +1 = 2.732`

Or

`(2)/( √(3 - 1) ) \\ (2)/( √(2) ) * ( √(2) )/( √(2) ) = (2 √(2) )/(( √(2) ) ^(2) ) = (2 √(2) )/(2) \\ √(2) = 1.4142`

I hope I helped you^_^

Answer 2

Explanation: