Question

17) The smallest number to be
subtracted from 8201 to make it
perfect square is
1) 201
2) 101
180
3)
4)
80​

Answer 1

Answer:

I think this answer is 80

Answer 2

Answer:

Here we should find the smallest number which should be subtracted from 8201 to make it should be a perfect square.For that we should apply the given 4 options instead of smallest number.

Final Answer: Option 2: Smallest number is 101

Step-by-step explanation:

From the given question, First we should know about a Perfect Square.

• Perfect Square: A perfect square is a number that can be expressed as the product of an integer by itself.

• Example: 25 is a perfect square which is the product of integer 5 by itself. That is,  5 * 5 = 25.
• The smallest number to be subtracted from 8201 can be written as,

                     8201 - smallest number ------------(1)

• To get the solution, we should apply the 4 options in the above equation.
• Option 1: 201 apply in equation(1).That is,

                   $8201-201=8000$ => It is not a Pefect square

• Because square root of 8000 is $89.442$
• Option 2: 101 apply in equation(1).That is,

                   $8201-101=8100$ => It is a Pefect square

• Because square root of 8100 is $90$
• Option 3: 180 apply in equation(1).That is,

                   $8201-180=8021$ => It is not a Pefect square

• Because square root of 8021 is $89.560$
• Option 4: 80 apply in equation(1).That is,

                   $8201-80=8121$ => It is not a Pefect square

• Because square root of 8121 is $90.116$
• Final Answer: Option 2: Smallest number is 101 Which is subtracted from 8201 to make it a perfect square.