Question

1682 is a perfect square or not If not, find the smallest number by which these should divide so that the quotient is a perfect square

Answer 1

Answer:

The answer is 3

Reason:

1875 ends in a 5, so it can be divided by 5

1875 ÷ 5 = 375 which also ends in a 5 so

375 ÷ 5 = 75

75 ÷ 5 = 15

15 ÷ 5 = 3.

So 1875 = 5 × 5 × 5 × 5 × 3 = (5 × 5) × (5 × 5)

= 25^2 × 3

So if you divide 1875 by 3 you get 25 squared, and 3 must be the smallest number as 1875 can't be divided exactly by 2.

Step-by-step explanation:

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