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QUESTION:
Find the smallest number by which 693693 must be divided in order to become a perfect square.
Answers
Answered by
30
Answer:
- Here One 5 and one 3 are not in Pairs.
- So 6000 must be divided by (5×3)=15 to obtain a Perfect Square.
- Resulting number = 6000/15 =400.
Step-by-step explanation:
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Answered by
1
Answer:
The prime factors of given number are.
3 x 3 x 7 x 7 x 11 x 11 x 13
can be written as
3²×7²×11²×13
(powers are same bases are multiplied)
(3×7×11)²×13 = 693693
(231)²×13= 693693
on dividing both side by 13 we will get a perfect square (I.e 231²)
therefore 13 is the smallest number by which given number should divide to get a perfect square.
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