Question

Find the smallest number that must be divided to 2896 in order to make it perfect square​

Answer 1

Answer:

396 should be divided to get a perfect square

Answer 2

Step-by-step explanation:

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

\therefore252\div7=36∴252÷7=36

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

36

=2×3=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∴2925÷13=225

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

225

=3×5=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∴396÷11=36

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

36

=2×3=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∴2645÷5=529

And \sqrt{529}=23

529

=23

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hope this helps you ♥️