simplify the following by rationalising the denominator:
5+√6/5-√6
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Answer:
(31 +10root6) /19
Step-by-step explanation:
(5 +root6) / (5 - root6)
= (5 +root6)*(5+root6) / (5 - root6)*(5+root6)
= (5+root6)^2 / {(5^2)-(root6)^2}
= {(5^2)+(root6)^2+(2*5*root6)} / (25-6)
= 25 +6 +10root6) / 19
= (31 +10root6) /19
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