Math, asked by lakitha93, 6 months ago

what should be divided from
12150 to make it a perfect square​

Answers

Answered by suggulachandravarshi
4

Answer:

Answer:Using the J programming language:

Find the square root of 12150:

%:12150

110.227

So any larger perfect squares must be squares of integers larger than 110.

Square the integers from 111 to 1000 and store the squares in sq.

sq=.2^~111 to 1000

Divide all the squares in sq by 12150 to find the ratio of each perfect square to 12150, and store the ratios in r.

r=.sq % 12150

Find all the ratios in r that are pure integers (no fractional ratios allowed so the final result will be an integer.). The smallest ratio is the smallest integer that can be multiplied with 12150 get a larger perfect square. To find the pure integers in r, find all the values in r where the floor of the number in r equals the original number in r:

r#~r=<.r

6 24 54

So multiplying 12150 by either 6, 24, or 54 will produce another perfect square. We’ll pick the smallest, 6, as the answer.

Check:

Take the square root of 12150 times 6, 24, and 54

%: 12150 * 6 24 54

270 540 810

The square root of 12150 * 6 is an integer (270).

Thus 12150 * 6 is a perfect square (270^2).

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Answered by tsuteshnaidu28
4

Answer:

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