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Prove 2-root 3 is irrational given that root 3 is irrational |
Answer» ANSWER:Let's ASSUME that 2 - √3 is a RATIONAL number. Square of the rational number is ALWAYS rational number. But, (2 - √3)² = 5 - 4√3 Given: √3 is an irrational number. But, when irrational number is added to a rational number it gives irrational number. Hence, our ASSUMPTION goes wrong. Therefore, 2 - √3 is an irrational number. |
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