Question

Simplify:
(√6/√2+√3)+(3√2/√6+√3)-(4√3/√6+√2)

Answer 1

First rationalize the denominator of each term by multiplying its conjugate in both the numerator and denominator and simplify it.

Conjugate of a first term (√2+√3) is

(√2-√3)

Conjugate of second term (√6+√3) is (√6-√3)

Conjugate of third term (√6+√2) is (√6-√2)

In denominator FORMULA used=

(a+b)(a-b)= a² - b²