Question

Rationalize the denominator:

Answer 1

⇒ (4√3+5√2) / (√48+√18)

rationalize numerator and denominator (4√3-3√2)

⇒ [(4√3+5√2) / (4√3+3√2)] [ (4√3-3√2) / (4√3-3√2) ]

⇒ (48-12√6+20√6-30) / (48-18)

⇒ (18 + 8√6) / 30

⇒ (9 + 4√6) / 15