ind the smallest number by which must be multiplied to get a perfect square
1150
spare roetarthe perfettuare se oblamed
Exercise 2.31
Find the stare roatarthe following numbes the methode prime faetonation
13
quare meterhepereersyuare se obtained
the smallest number by whic.h 2925 must be divided to obtam a perfect square
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MATHS
Find the smallest number by which 720 should be multiplied to get a perfect square number.
(i)What is the perfect square obtained?
(ii)Find the Square root of this perfect number.
Then, answer(i) + answer(ii) is,
January 17, 2020
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Skafreen Dangi
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ANSWER
Prime Factorization of 720 is,
720=2×2×2×2×3×3×5
To find perfect square make pair of two of prime factors
thus,
there is a pair of 5 is missing hence to make 720 a perfect square we have to multiply by 5.
5 is the smallest number by which 720 should be multiplied to get a perfect square number
(i) 720×5=3600
(ii)
3600
=60
∴3600+60=3660
Hence 3660 is the answer.
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