Question

Rationalise the denominator
√48+√27/4√3+5√2

Answer 1

√48+√27/4√3+5√2

=√48+√27/4√3+5√2×4√3-5√2/4√3-5√2

=(√48+√27)(4√3+5√2)/(4√3)²-(5√2)²

=(√2×2×2×2×3 + √3×3×3)(4√3+5√2)/4×4×3 - 5×5×2

=(4√3+3√3)(4√3+5√2)/48-50

=4√3(4√3+5√2)+3√3(4√3+5√2)/-2

=48+20√6+12×3+15√6/-2

=48+20√6+36+15√6/-2

=48+36+20√6+15√6/-2

=84+35√6/-2

=-(84+35√6/2)