Find the least number which must be subtracted from 1400 to make it a perfect square.
Answers
Step-by-step explanation:
L.C.M of 1400=2×2×5×5×7×2
all are in pairs except 2,7
so, we should multiply 2×7 to 1400 to get a perfect square
1400×2×7=19600
19600=140×140
hence,19600 is a perfect square
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Concept:
The study of the set of positive whole numbers, such as 1, 2, 3, 4, 5, and so on, is aided by the field of mathematics known as number theory. This set is also known as the set of natural numbers and is occasionally referred to as "higher arithmetic."
Studying the connections between various types of numbers is made easier by number theory. Natural numbers are divided into a number of categories.
Given:
1400
Find:
Find the least number which must be subtracted from 1400 to make it a perfect square.
Solution:
√1400=37.41
So, nearest perfect square is 37² =1369
So, 1400 -1369=31
Therefore, 31 is the least number which must be subtracted from 1400 to make it a perfect square.
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