Question

2√3-4√5÷√3+√5 rationalise the denominator

Answer 1

Heya !!



2root 3 - 4 root 5 / root 3 + root 5



=> ( 2✓3 - 4✓5 ) / (✓3 + ✓5 ) ×(✓3-✓5)/(✓3-✓5 )




=> 2✓3 ( ✓3 - ✓5 )-4✓5 ( ✓3 - ✓5) / (✓3+✓5)(✓3-✓5)



=> 6 - 2✓15 - 4✓15 + 20 / 3 - 5



=> 26 - 6✓15 / - 2



=> -2 ( -13 + 3✓15 ) / -2




=> 3✓15 - 13 [ Answer ]