find the least no. by which 14580 should be so as to get a perfect square.also,find the square root of resulting no.
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Hey!!!
Let's do the Prime Factorisation of 14580
=> 14580 = 1458 x 10
=> 14580 = 2 x 3 x 243 x 10
=> 14580 = 2 x 3³ x 27 x 10
=> 14580 = 2 x 3^6 x 10
Clearly 2 and 10 appear only once
Thus we need to multiply the number by 2 x 10 = 20 to get a perfect square.
=> 14580 x 20 = 291600
=> √291600 = 2² x 3² x 3² x 3² x 10²
=> √291600 = 2 x 3³ x 10
=> √291600 = 540
Hope this helps
Let's do the Prime Factorisation of 14580
=> 14580 = 1458 x 10
=> 14580 = 2 x 3 x 243 x 10
=> 14580 = 2 x 3³ x 27 x 10
=> 14580 = 2 x 3^6 x 10
Clearly 2 and 10 appear only once
Thus we need to multiply the number by 2 x 10 = 20 to get a perfect square.
=> 14580 x 20 = 291600
=> √291600 = 2² x 3² x 3² x 3² x 10²
=> √291600 = 2 x 3³ x 10
=> √291600 = 540
Hope this helps
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