Question

rationalize this denominator:1/root5-root 3
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Answer 1

Step-by-step explanation:

1/(√5 - √3)

multiplying numerator and denominator by (√5+√3) [ why?, because denominator is in (a-b) form so we multiply with (a+b) form so as to get (a2-b2) and get rid of roots in denominator. this is called rationalisation)

1*(√5+√3)/!√5-√3)(√5+√3)

= (√5+√3)/(√5)^2 - {√3)^2

= (√5+√3)/(5-3)

= (√5+√3)/2

we may write it as

(1/2)*(√5+√3)