Question

simplify : 3√2 / √6+√3 + √6 / √3+√2 - 4√3 / √6 + √2

Answer 1

Solution is in theAttachment.

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