Question

Find the smallest whole no by which 180 should be divided to get perfect square

Answer 1

Hello Dear!!!

Here's your answer....

180

first,we have to do prime factorization

180 - 2*2*5*3*3

180 - 2^2 * 3^2 * 5

the powers of 2 and 3 is 2

but the power of 5 is 1

so...it should be divided by 5

then we can get perfect square

PROOF -

180/5

36

36 is a perfect square...

so....180 should be divided by 5 to get a perfect square....

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HOPE THIS HELPS YOU......