Question

5 / (4root3 - 3root2)
rationalize

Answer 1

Answer:

(4√3 + 3√2)/6

Step-by-step explanation:

5/ (4√3 - 3√2)

5/ (4√3 - 3√2) × (4√3 + 3√2)/(4√3 + 3√2)

(20√3 + 15√2)/ (4√3)^2 - (3√2)^2

(20√3 + 15√2)/ 48 - 18

(20√3 + 15√2)/ 30

5 (4√3 + 3√2) / 5 × 6

= (4√3 + 3√2) / 6