Question

3√−√6/√3+√6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we first need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is √3 - √6.

(3√-√6)/(√3+√6) * (√3 - √6)/(√3 - √6)

This gives us:

= (3√(3) - 3√(6) + √(18) - 6)/(3)

= (3√(3) - 3√(6) + 3√(2) - 6)/(3)

= √3 - √6 + √2 - 2

Therefore, the simplified expression is: √3 - √6 + √2 - 2