by which least number should 2048 be multiplied to get a perfect number? also find the number whose cune is the New number
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⇒ 2048 = 2^11.
If it is multiplied by 2 then,
2048 * 2 = 4086 = 2^12
This is perfect square & it's square root is:
sqrt (4096) = 4096 ^ (1/2)=
(2^12)^(1/2) = 2^(12 * 1/2)= 2^6 = 64.
Answer: 2048 should be multiplied by 2, to make it perfect square & it's square root is 64.
Note: If 2048 is multiplied by 2 n^2 (where n is natural), still the result is perfect square & the square root is 64n.
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