Question

Write the expression in simplified radical form.

2-2Square root 3 over
7+ square root 3

Answer 1

(2-2√3)/(7+√3)
recalling that (a+√b)(a-√b) = a^2-b,

(2-2√3)(7-√3)/(49-3)
(14-14√3-2√3+2*3)/46
(20-16√3)/46
(10-8√3)/23