(5) State, giving reason, whether the following numbers are rational or irrational
(a) 3+√7
(b)-2+√5
(c)(2+ √3)(2-√3)
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Answer:
Consider the problem
2
5
2
45
+3
20
=
2
5
2
3×3×5
+3
5×2×2
=
2
5
2×3
5
+3×2
5
=
2
5
6
5
+6
5
=
2
5
12
5
=6
Hence, 6, which is a rational number
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