√ab=√a√b , ප්රකාශනය වලංගු වන a,b අගයන් මොනවද?
a,b ≥ 0 ද , නැත්නම් අවම වශයෙන් a හෝ b ධන වීමද?
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Dear Bourbaki, thank you for your question. Here is the response from the MetaHub Teachers’ Forum Panel:
In most of the books that I have read, they simply stressed that √ab=√a√b is valid only when, atleast one of a and b is non-negative. And just giving numerical examples to convince that the validity of √ab=√a√b.(Even in the JEE textbooks). But it works when a = b = i. This confused me a bit and I searched all over the internet but couldn’t find a clear answer.
Thank you very much for the clear explanation!