Find the smallest number by which 3645 must be divided so that it becomes a perfect square also find the square root of the resulting number

Asked by kavikumardav196 | 17th Apr, 2019, 08:43: PM

Expert Answer:

T O space d i v i d e space t h e space n u m b e r space 3645 comma space w e space n e e d space t o space f i n d space t h e space f a c t o r s space o f 3645
N o w space 3645 space c a n space b e space f a c t o r i s e d space a s
3645 equals 5 cross times 9 cross times 9 cross times 9 equals 5 cross times 3 cross times 3 cross times 3 cross times 3 cross times 3 cross times 3 equals 5 cross times 3 to the power of 6
3 to the power of 6 space i s space a space p e r f e c t space s q a r e space n u m b e r space w h e r e a s space 5 space n o t
S o comma space i f space w e space d i v i d e space 3645 space b y space 5 space w e space g e t space a space p e r f e c t space s q u a r e space n u m b e r space 3 to the power of 6 space a n d space s q u a r e space r o o t space o f space t h a t space n u m b e r space i s
square root of 3 to the power of 6 end root equals 3 cubed equals 27

Answered by Renu Varma | 18th Apr, 2019, 09:44: AM

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