Question

1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.

Answer 1

1:-

0.25

• it should be in p/q form

$\\ \rm{:}\twoheadrightarrow 0.25$

$\\ \rm{:}\twoheadrightarrow \dfrac{25}{100}$

$\\ \rm{:}\twoheadrightarrow \dfrac{1}{4}$

• q not equal to zero hence proved

2:-

Its Slightly false.

Counter example :-

The sum of two rational numbers is may be rational. The sum of two irrational numbers is always irrational.”

ex:-

$\\ \rm{:}\twoheadrightarrow \dfrac{1}{2}+\dfrac{1}{2}$

$\\ \rm{:}\twoheadrightarrow 1$

3:-

NOTA

$\\ \rm{:}\twoheadrightarrow 6(94)+7+(3+2)$

$\\ \rm{:}\twoheadrightarrow 564+7+5$

$\\ \rm{:}\twoheadrightarrow 576$