Question

Simplify:- (2√6 ÷ √2 + √3) + (6√2÷√6 + √3) - (8√3 ÷ √6 + √3)

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

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Hope this answer