Math, asked by pujitha46, 1 year ago

what must be added to 24136 to make it a perfect square​

Answers

Answered by syed2020ashaels
0

200 must be added to 24136 to make it a perfect square​.

  • When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply.
  • A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square. By squaring a whole number or an integer, one can create perfect squares.

Now, according to the given information, we need to find out what must be added to 24136 to make it a perfect square​.

Now, when we take the square of 155, we get, 155² = 24025.

Again, if we take the square of 156, we get, 156² = 24336.

Now, this means, 24136 lies between the squares of 155 and 156.

Then, by subtracting the squares of 155 and 156 from each other, we get,

24336 - 24025 = 200.

This when added to 24136, will make it a perfect square.

Hence, 200 must be added to 24136 to make it a perfect square​.

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Answered by sourasghotekar123
0

Answer:

To make 24136 as a perfect square​ we have to add 200

Step-by-step explanation:

Now, according to the given information, we need to find out what must be added to 24136 to make it a perfect square​.

When a polynomial is multiplied by itself, then it is a perfect square. Example – polynomial ax2 + bx + c is a perfect square if b2 = 4ac.

Now, when we take the square of 155, we get,

         155² = 24025.

Again, if we take the square of 156, we get,

         156² = 24336.

Now, this means, 24136 lies between the squares of 155 and 156.

Then, by subtracting the squares of 155 and 156 from each other, we get,

        24336 - 24025 = 200.

This when added to 24136, will make it a perfect square.

Hence, 200 must be added to 24136 to make it a perfect square​.

To make 24136 as a perfect square​ we have to add 200.

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