Rationalize the denominator and simplify 6/√2-√3

=3√6−3√5

3√5+√6

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. √5−√6

3⋅(√5−√6)(√5+√6)⋅(√5−√6)

=3⋅(√5)+3⋅(−√6)(√5+√6)⋅(√5−√6)

=3√5−3√6(√5+√6)⋅(√5−√6)

=3√5−3√6(√5)2−(√6)2

=3√5−3√65−6

=3√5−3√6−1

=−3√5+3√6

=3√6−3√5

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