Question

Rationalise the denominator.


(uploaded the pic)

thanks!

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Answer 1

Answer :

√20 +√11/√4+√3 = (√20 +√11) (√4 -√3)/ (√4 +√3)(√4-√3)

= 2√5+√11(2-√3) /(2)^2 -(√3)^2

= 4√5 -2√15 +2√11 -√33 /4-3

= 4√5 +2√11 -2√15 -√33 /1

= 2(2√5+√11) - √3 ( 2√5 + √11)

= (2-√3)( 2√5+ √11)