Find the least number which must be subtracted from the following numb...
Question:
Find the least number which must be subtracted from the number 37,646 to make it a perfect square.
Solution:
To find the least number that must be subtracted from 37,646 to make it a perfect square, we need to understand the concept of perfect squares and how to find them.
What are Perfect Squares?
Perfect squares are numbers that can be expressed as the square of an integer. For example, 1, 4, 9, 16, 25, etc. are perfect squares.
How to Find Perfect Squares?
To find perfect squares, we can take the square root of a number and check if it is an integer. If it is, then the number is a perfect square.
Steps to Find the Least Number:
1. Start by taking the square root of the given number 37,646.
√37,646 ≈ 193.9 (approximately)
2. Since the square root is not an integer, we need to find the next lower perfect square.
3. To find the next lower perfect square, we square the whole number part of the square root obtained in step 1.
(193)^2 = 37,249
4. Now, we subtract this perfect square from the given number.
37,646 - 37,249 = 397
5. The number 397 is the least number that must be subtracted from 37,646 to make it a perfect square.
Answer:
The least number that must be subtracted from the number 37,646 to make it a perfect square is 397.
Find the least number which must be subtracted from the following numb...
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