Question

What is the following quotient? 2-sqrt8/ 4+sqrt12

Answer 1

Answer:

1-sqrt2/2+sqrt3 or (2-sqrt3-2sqrt2+sqrt6)or (1-sqrt2)(2-sqrt3)

Step-by-step explanation:

2-sqrt8/4+sqrt12

2-2sqrt2/4+2sqrt3

2(1-sqrt2)/2(2+sqrt3)

1-sqrt2/2+sqrt3(Not rationalizing)

(1-sqrt2)(2-sqrt3)/4-3

2-sqrt3-2sqrt2+sqrt6(If you rationalize)