Answer the following questions involving irrational numbers.

MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers

Problem

Answer the following questions involving irrational numbers. (i) Prove that 3\sqrt{3} is an irrational number. (ii) Using the result of part (i), show that the number 7−237-2\sqrt{3} is irrational. (iii) Simplify 21−633\frac{21-6\sqrt{3}}{3} and classify the simplified form into the appropriate subset(s) of real numbers.

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