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Check Whether the Square of the Following is Rational Or Irrational: 3 + √ 2 - Mathematics

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प्रश्न

Check whether the square of the following is rational or irrational:

`3 + sqrt(2)`

योग

उत्तर

`(3 + sqrt(2))^2`
= `(3)^2 + (sqrt(2))^2 + 2 xx 3 xx sqrt(2)`
= 9 + 2 + 6`sqrt(2)`
= 11 + 6`sqrt(2)`, which is irrational

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Irrational Numbers - Exercise 1.2

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 1 Irrational Numbers
Exercise 1.2 | Q 2.2
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