Rationalize 5 ÷ (2 − √3)
- 3(2 + √5)
- 2(3 + √5)
-
5(2 + √3)
- 3 √2 + 1
The correct answer is: C
Explanation
5÷ (2 − √3)Using conjugate surds
[5 ÷ (2 − √3)]×(2 + √3) ÷ (2 + √3)]
[5(2+√3)÷((2− √3))2]
[5(2 +√3) ÷ (2)2− (√3)2]
[5(2 +√3) ÷(4− 3)]
= 5(2 + √3)
There is an explanation video available .