By what number should 3125 be divided to make it a perfect square

Solution:

(i) 252 = 2 x 2 x 3 x 3 x 7

Here, prime factor 7 has no pair. Therefore 252 must be divided by 7 to make it a perfect square.

\therefore252\div7=36

And \sqrt{36}=2\times3=6

(ii) 2925 = 3 x 3 x 5 x 5 x 13

Here, prime factor 13 has no pair. Therefore 2925 must be divided by 13 to make it a perfect square.

\therefore2925\div13=225

And \sqrt{225}=3\times5=15

(iii) 396 = 2 x 2 x 3 x 3 x 11

Here, prime factor 11 has no pair. Therefore 396 must be divided by 11 to make it a perfect square.

\therefore396\div11=36

And \sqrt{36}=2\times3=6

(iv) 2645 = 5 x 23 x 23

Here, prime factor 5 has no pair. Therefore 2645 must be divided by 5 to make it a perfect square.

\therefore2645\div5=529

And \sqrt{529}=23

(v) 2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

Here, prime factor 7 has no pair. Therefore 2800 must be divided by 7 to make it a perfect square.

\therefore2800\div7=400

And \sqrt{400}=2\times2\times5=20

(vi) 1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

Here, prime factor 5 has no pair. Therefore 1620 must be divided by 5 to make it a perfect square.

\therefore1620\div5=324

And \sqrt{324}=2\times3\times3=18

hello students welcome to little q a video session i am sef your math tutor and question for today is the least number by which 125 we multiplied to make it perfect square is dash so the least number by which 125 is to be multiplied to make it a perfect square is 5 because 125 will be equal to 5 into 5 into phi hence we can write this is our answer if you have any queries you can drop it in comment section and subscribe to lido for more q a thank you for watching

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