Hebrew 'qadash' and 'qodesh'

Quote:
<<<The Hebrew word translated "sanctified" in Genesis 2:3 and "hallowed" in Exodus 20:11 is qadash, a word meaning "to hallow, to pronounce holy, to consecrate, to set apart for holy use".>>>

My question is, Is there any relationship between the word 'qadash' and the Hebrew word for 'month' -- 'qodesh'.

Only a person who knows the Hebrew language would be able to tell or and explain.

I do not know Hebrew. The spelling and pronunciation (morphology) made me think there could be an etymological connection in meaning as well. Is there?

 

Thanks very much.

Now, the Hebrew word 'qad' -- please remember I do not know, but ask --

a) could it be a 'root-word' of <hadash> and or <qadash>?;

b) does it mean 'sharp', 'pointed', 'wedged', like when the moon is 'new'?

In other words, is there a 'hidden' connotation in 'qad' of 'sanctified' or 'put away / aside' (in the dark) as it were to 'reserve for holy use'?