4.
Find the smallest number by which 2890 must be
divided to get a perfect square. Also, find the square
root of th

2 thoughts on “4.<br />Find the smallest number by which 2890 must be<br />divided to get a perfect square. Also, find the square<br />root of th”

1. Answer:

   Step-by-step explanation:

   (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.
   

   ∴ 252 ÷ 7 = 36
   

   And √36 = 2 x 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.
   

   ∴ 2925 ÷ 13 = 225
   

   And √225 = 3 x 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.
   

   ∴ 396 ÷ 11 = 36
   

   And √36 = 2 x 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.
   

   ∴ 2645 ÷ 5 = 529
   

   And √529 = 23 x 23 = 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.
   

   ∴ 2800 ÷ 7 = 400
   

   And √400 = 2 x 2 x 5 = 20

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2. Answer:

   2800=2×2×2×2×5×5×7

   Step-by-step explanation:

   i think it help you

   Reply