Create minimum 2 problems related to surds where we have to rationalize the denominator, take the LCM and simplify. Solve the problems showing all steps. Better to mention the reason for the step.
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For example, the rationalizing factor of √5 is √5 and rationalizing factor of ∛2 is ∛2^2 or ∛4. ...
(a√z) × (b√z) = (a × b) × (√z × √z) = ab(√z)^2 = abz, which is rational. ...
√5 × 2√5 = 2 × (√5)^2 = 3 × 5 = 15, which is rational.
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Q4- Briefly explain the process of German unification
The process of German unification was continued by Prussia after liberals and middle-class Germans were defeated by aristocrats and military.
Its chief minister Otto von Bismarck carried out the process and he got help from the Prussian army and bureaucracy.
Prussia fought three wars with Austria, Denmark, and France
These wars resulted in Prussian victory as well as German unification
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