Question

find the smallest positive integers with which one has to divide 336 to get a perfect square

Answer 1

hye

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aim :we have to find the smallest number which will divide 336 to make a perfect square

=>prime factorisation of 336

=>336  = 2, 2, 2, 2, 3, 7

this can be written as

=>336 = 2², 2², 3, 7

we see 3and 7 are not in pair

=>now lets mutiply both

=>3*7 = 21

∴21 is  smallest number which will divide 336 to make a perfect square

=> 336 ÷21 = 16

=>√16 = 4

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hope it helps u.............