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Maths TNSB Mentoring
Class 9
Real Numbers
Decimal Expansion of Rational and Irrational Number
6.
Two marks example problems VI
Question:
2
m.
Find whether \(x\) and \(y\) are rational or irrational in the following.
(i)
\(a = 2 + \sqrt{3}\), \(b = 2 - \sqrt{3}\); \(x = a + b\), \(y = a - b\)
Both \(x\) and \(y\) are rational numbers
\(x\) is a rational number and \(y\) is a irrational number
Both \(x\) and \(y\) are irrational numbers
\(x\) is a irrational number and \(y\) is a rational number
(ii)
\(a = \sqrt{2} + 7\), \(b = \sqrt{2} - 7\); \(x = a + b\), \(y = a - b\)
Both \(x\) and \(y\) are irrational numbers
\(x\) is a rational number and \(y\) is a irrational number
Both \(x\) and \(y\) are rational numbers
\(x\) is a irrational number and \(y\) is a rational number
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