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State Whether the Following Number is Rational Or Irrational ( 5 − √ 5 ) 2 - Mathematics

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प्रश्न

State whether the following number is rational or irrational

`(5 - sqrt(5))^2`

योग

उत्तर

`(5 - sqrt(5))^2`
= `(5)^2 + (sqrt(5))^2 - 2 xx 5 xx sqrt(5)`
= 25 + 5 - 10`sqrt(5)`
= 30 - 10`sqrt(5)`, which is irrational

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अध्याय 1: Irrational Numbers - Exercise 1.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 1 Irrational Numbers
Exercise 1.2 | Q 1.2
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