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Operations on Rational and Irrational Numbers

Root 3 is an ...

Question

Root 3 is an irrational number. Which of the following operations on it will yield a rational number?

(a) adding √3 to it (b) adding 1/√3 to it (c) multiplying it by √3

d) multiplying it by √9

which is the correct option

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Solution

(c) multiplying it by √3

We know root(3)*root(3)=3 which is a rational no.

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