Question

Find the smallest number by which 6000 should be divided to get a perfect square and also find the square
root of the resulting number.​

Answer 1

Answer:

The Prime Factorisation of 6000 is

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

Resulting number = 6000/15 =400

400

=

20×20

=20

Answer 2

Answer:

15

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

Step-by-step explanation:

√400= 20

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