Question

rationalise the denominator 30 /5root3 -3root5

Answer 1

Answer:

150√3 + 90 √5 /30 or 5√3 + 3√5

Step-by-step explanation:

The conjugate of 5√3 - 3√5 is 5√3 + 3√5

multiply both numerator and denominator by 5√3 + 3√5

=30 /5√3 - 3√5 × 5√3+3√5 / 5√3 + 3√5

= 150√3 + 90√5 / (5√3)^2 - (3√5)^2

= 150√3 + 90√5 / ( 25 × 3) - ( 9 × 5)

= 150√3 + 90√5 / 75 - 45

= 150√3 + 90√5 / 30. (or)

= 150√3/30 + 90√5/30

= 5√3 + 3√5.

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