Question

Show that 2/(√12-√8) can be written in the form √a+√b, where a and b are integers.

Answer 1

Answer:

✓3 + ✓2

Step-by-step explanation:

2/(✓12-✓8) * (✓12 + ✓8)/(✓12 + ✓8)

2(✓12+✓8)/(12-8)

2(✓12+✓8)/4

(✓12+✓8)/2

✓12/2 + ✓8/2

✓3 + ✓2