Math, asked by bainsjashan976, 8 months ago

स्पी इज द प्राइम नंबर एंड पी डिवाइड्स के स्क्वायर डेंटेड वाइट ड्रेस​

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Answers

Answered by amitnrw
1

p is a prime number and p divides k2, then p divides. k also

Step-by-step explanation:

p is a prime number hence p has only factor p & 1  

p  divides k²

=> k²  = pq  

as p is prime number

Hence q must have a factor of p as well

so that square can be formed

=>  k²  = p (ps)

=> k² = p²s

=> p² divides k²

hence p divides k also

This is not true  if p is not prime

for example

8 divides 4² = 16   but 8 can not divided 4.

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