Question

9. State whether the following statements are true or false. Justify your answers
(i) Every irrational number is a real number.
(ii) Every rational number is a real number.
(iii) Every real number need not be a rational number
d
(iv) Vn is not irrational if n is a perfect square.
(v) Vn is irrational if n is not a perfect square.
(vi) All real numbers are irrational.​

Answer 1

Answer:

1. every irrational number IS a real number. (TRUE)

2.NOT EVERY NUMBER IS A REAL NUMBER!!!!!!

3. every number does not need to a real number

                               Explanation

The number is rational (it's written as a ratio of two integers) but it's also real. All rational numbers are also real numbers. ... It's written as a ratio of two integers, so it's a rational number and not irrational. All rational numbers are real numbers, so this number is rational and real.

(vi)All real numbers are irrational.

(vi)That is soooooooooooooooooooo not true!!!!!!!!!!!!(FALSE)

                                  Explanation

A real number that is irrational is any number that is not rational. And, a real number that is rational can be represented as a fraction of integers. Both real numbers that are rational and real numbers that are irrational exist; meaning, not ALL real numbers are irrational.

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