2007-06-27 16:36:26 · 7 answers · asked by bara hachi 2 in Science & Mathematics ➔ Mathematics
First factor the number. In this case 25. Then separate the factors in two groups so that you get the same product in both the groups. This product will be your square root.
For eg. consider 100.
Its factors are 2,2,5,5
divide it into the following groups (2,5) and (2,5). The product of the group is 10. Hence, the square root of 100 is 10.
Note: This approach works for perfect squares only. If you cannot find any two groups where the product of both the groups are the same then the number is not a perfect square.
Also, if you see the pattern then you will realize that a perfect square will always end with 0,1,4,5,6,9. (Ofcourse any number ending in these digits is not a perfect square). So, just by looking at, say, 345349327 you can be sure that it is not a perfect square as it ends with a 7.
2007-06-27 16:55:00 · answer #1 · answered by Shishir P 2 · 0⤊ 0⤋
The square root of a number such as 25 is 5 because 5^2 (squared) or 5 times 5 equals 25. The same goes for any number that squares itself. The square root of 100 is 10 because 10^2 = 100. The square root of a number x is a number r such that r^2=x. There are also negative square roots to be considered.
2007-06-27 23:53:34 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Square root is the opposite of squaring (for positive numbers) so since 5^2 = 25, the square root of 25 is 5
2007-06-27 23:40:38 · answer #3 · answered by Math Nerd 3 · 0⤊ 0⤋
Since 5x5 = 5^2 = 25, it is not hard to see that the square root of 25 must be 5.
2007-06-27 23:49:32 · answer #4 · answered by msi_cord 7 · 0⤊ 0⤋
well if u know that 5x5=25 the square root is the opposite of squaring a number, so the square root of 25 is 5.
2007-06-27 23:41:26 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Remember that the word "calculus" means "counting with stones;" that is, the word is related to the word "calcium."
The point being that the basic principles of numerical analysis and calculation (oops! rocks in the head again!) can be worked out in very simple ways. A computer is a big help if you want to calculate things like the cube root of 18,327, but the arithmetic principle that governs the calculation can be worked out with a stick in a sandbox, as Archimedes did.
2007-06-27 23:54:49 · answer #6 · answered by aviophage 7 · 0⤊ 0⤋
counting came first, then adding based on that. say 1,2,3 etc then multiplication and squares were the result
2007-06-27 23:39:48 · answer #7 · answered by voraciousant 2 · 0⤊ 0⤋