Question

x is irrational
EXERCISE 1 (a)
1. (1) Prove that V3 is not a rational number.
(P.9, 2012)
(ii) Show that there is no rational number whose square is 3.
2.
Show that 15 is not a rational number.
3. Show that 1 is not a rational number.
4. If p is a prime number, show that Vp is not a rational number.
5. Show that 73 - 2 is not a rational number.
6. (1) If x = 0) is a rational number, y is real but not rational, then x y is irrational.
(ii) If x is rational and y is irrational, then x + y is irrational.
(iii) If a and b are rational numbers and c is irrational, then prove that
a + b c = 0 → a= 0) = b.

Answer 1

Answer:

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Step-by-step explanation:

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