Question

Please help me with this question....

Is 0.17 repeating times square root of 108 rational or irrational? Justify your answer.

Answer 1

Hey there! :D

Any repeating number is rational.

The square root of 108 is 10. 3923048454

It is irrational. Its numbers do not repeat.

So, if you were to multiply a rational and irrational number, it would be irrational.

We can even test this:

.17171717171717171717171*10.392304....= 1.784537....

I hope this helps!
~kaiker