Question

rationalize the denominator and simplify √5/√6+2-√5/√6-2​

Answer 1

Step-by-step explanation:

√5/√6+2-√5/√6-2

=[√5*(√6-2 )/(√6+2)*(√6-2)]-[√5*(√6+2)/(√6-2)*(√6+2)]

=(√30-2√5)/(6-2√6+2√6-4)-(√30+2√5)/(6+2√6-2√6-4)

=(√30-2√5)/2-(√30+2√5)/2

=(√30-2√5-√30-2√5)/2

=-4√5/2

=-2√5