Question

Root 3 minus root 2 divided by root 3 + root 2​

Answer 1

`5 - 2 √(6)`

Explanation:

Perhaps you are interested in rationalising the denominator of the given problem. Let's do it.

`( √(3) - √(2) )/( √(3) + √(2) ) \\ \\ multiplying \: numerator \: and \: denominator \: \\ by \: (√(3) - √(2)) \\ \\ (( √(3) - √(2) ) )/( (√(3) + √(2) )) * ( (√(3) - √(2) ))/( (√(3) - √(2) )) \\ \\ = \frac{{( √(3) - √(2) )}^(2) }{ { (√(3) })^(2) - {( √(2) })^(2) } \\ \\ = \frac{ { (√(3) )}^(2) + { (√(2) )}^(2) - 2 √(3 * 2) }{3 - 2} \\ \\ = (3 + 2 - 2 √(6) )/(1) \\ \\ = 5 - 2 √(6)`