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A PT teacher asks $4000$ students to stand in a way that the number of rows is equal to the number of columns. Find the number of rows if $31$ students were left after the arrangement.

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Identify quotients of rational numbers: word problems

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Q. A PT teacher asks

4000

students to stand in a way that the number of rows is equal to the number of columns. Find the number of rows if

31

students were left after the arrangement.

Subtract students: First, subtract the $31$ students who can't fit into the square formation. $\newline$ $4000 - 31 = 3969$ students can be arranged in a square.
Find number of rows: Now, to find the number of rows, take the square root of $3969$ because the number of rows is equal to the number of columns in a square. $\sqrt{3969} = 63$
Calculate rows: So, the number of rows is $63$ .

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