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Direct and Indirect Proof

Question 1 i ...

Question

Question 1 (i)
Classify $2 - \sqrt{5}$ as rational or irrational.

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Solution

$2 - \sqrt{5}$ = 2 - 2.2360679… = - 0.2360679…

Since the number is non-terminating non-recurring, it is an irrational number.

Alternate method :
Since this equation contains an irrational number $\sqrt{5}$ . Thus, given number is an irrational number.

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Direct and Indirect Proof

Standard IX Mathematics

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