Question

Find the smallest no. by which 6000 should be divided to get perfect square no.​

Answer 1

The Question Says to Find The Number by Which 6000 must be Divided to obatin a Perfect square...

So we can use the Prime Factorisation Method.

ie,6000=5×5×5×2×2×2×2×3

→6000=5³×2⁴×3¹

Here One 5 and one 3 are not in Pairs.

So 6000 must be divided by (5×3=)15 to obtain a Perfect Square.

I.e. 15 is the smallest no: by which 6000 should be divided as to obtain a Perfect square...

Hope it Helps...

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Answer 2

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The Question Says to Find The Number by Which 6000 must be Divided to obatin a Perfect square..

So we can use the Prime Factorisation Method.

ie,6000=5×5×5×2×2×2×2×3

→6000=5³×2⁴×3¹

Here One 5 and one 3 are not in Pairs.

So 6000 must be divided by (5×3=)15 to obtain a Perfect Square.

I.e. 15 is the smallest no: by which 6000 should be divided as to obtain a Perfect square....