Question

classify the following numbers are rational or irrational root45 , root 196 and 3root27

Answer 1

Irrational number - root 45
Rational number - root 196 because root 196 means 14

3 root 27 because it is 3


Hope it helps you

Answer 2

Hello Mate!

Hope you had a good day today.

Here is you solution :-

$i) \: \sqrt{45} = \sqrt{3 \times 3 \times 5} = 3 \sqrt{5}$

Now we kow that rational number multiplied by irrational is always irrational number.

So, _/45 is irrational.

$ii) \sqrt{196} = \sqrt{2 \times 2 \times 7 \times 7} \\ = 2 \times 7 = 14$

Here we get 14 as rational number.

$iii)3 \sqrt{27} = 3 \times \sqrt{3 \times 3 \times 3} \\ 3 \times 3 \sqrt{3} = 9 \sqrt{3}$

Here again an irrational number we get as rational × irrational = irrational.

Hope it helps☺!