find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number ?

Asked by vaishnaviharne | 25th Oct, 2014, 06:53: AM

Expert Answer:

square root of 1200 equals square root of 100 cross times 12 end root equals square root of 100 cross times square root of 12 equals 10 cross times square root of 4 cross times 3 end root equals 10 cross times 2 cross times square root of 3 equals 20 square root of 3 T h e r e f o r e space 3 space i s space t h e space s m a l l e s t space n u m b e r space t h a t space n e e d s space t o space b e space m u l i t p l i e d space w i t h space t h e space a b o v e space n u m b e r comma space s o space a s space t o space m a k e space t h e space p r o d u c t space a space r a t i o n a l space n u m b e r.

Answered by Prasenjit Paul | 26th Oct, 2014, 01:10: AM