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Please help me with this question....
Is 0.17 repeating times square root of 108 rational or irrational? Justify your answer.

Respuesta :

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