Question

Can someone show me why (1)/(2-sqrt3) = (2+sqrt3)/1 ?

Answer 1

Multiply up down by\[
2+\sqrt 3

\]

Answer 2

\[
\frac 1 { 2-\sqrt 3}\frac {2+\sqrt 3}{2+\sqrt 3}
\]
What would you get?

Answer 3

The numerator would become
\[
2 + \sqrt3
\]

Answer 4

What would the denominator be?

Answer 5

2^2-sqrt^2 = 4-3 = 1 ... Thanks!