3 years ago

1 divided by root6 - root11 + root5. urgent

1 answer:

3 0

1/√6 - √11 + √5

LCM = √6

(1 - (√6)*(√11) + (√5)*(√6) ) / √6

(1 - √(6*11) + √(5*6) )/ √6

Rationalize the surd by multiplying top and bottom by √6

((1 - √(6*11) + √(5*6) )/ √6) * (√6/√6)

(√6 - √(6*6*11) + √(5*6*6)) / √6

(√6 - 6√(11) + 6√(5)) / 6

So answer is:

(√6 - 6√11 + 6√5) / 6

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