Question

rationalise the denominator of 1/2+3root 5​

Answer 1

Answer:

1/2+3root 5

Rationalising factor of 2+3√5= 2-3√5

= 1/2+3√5 × 2-3√5/2-3√5

= 2-3√5/ (2)^2- (3√5)^2

since (a+b)(a-b)= a^2-b^2

= 2-3√5/4- (9)(5). (since 3×3= 9, √5×√5= 5)

= 2-3√5/4 - 45

= 2-3√5/ -41

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