Question 1 iClassify 2-5 as rational or irrational-

2 √(5) = 2 2.2360679… = 0.2360679… Since the number is non terminating non recurring, nbsp;it is an irrational number. Alternate method : Since this equ ...

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Standard IX

Mathematics

Representation of Irrational Numbers on the Number Line

Question 1 iC...

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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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Representation of Irrational Numbers on the Number Line

Standard IX Mathematics

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Question 1 (i) Classify 2−√5 as rational or irrational.

2−√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 √5. Thus, given number is an irrational number.

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

$2 - \sqrt{5}$ = 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.