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Polynomials

Question
CBSEENMA9001575

Let ‘a’ he a rational number and ‘b’ be an irrational number. Is ‘ab’ necessarily an irrational? Justify your answer with an example.

Solution

a = 0 and b = square root of 2
Then, ab = 0 x square root of 2 equals 0 which is rational.
Hence, 'ab' is not necessarily an irrational.

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.