Ok, so I am trying to find the square root of 9. I know it is 3. But I am not so sure, because -3 times -3 is also 9. So could the square root of 9 be -3 also? I really need to know! It is due tommorow!!!
2006-12-12 13:25:04 · 14 answers · asked by R. S. 2 in Science & Mathematics ➔ Mathematics
hi actually square root of 9 is plus or minus of 3 so that means
+3,-3 so it is -3 also
if it is square root of -9 is 3i
2006-12-12 13:30:09 · answer #1 · answered by Anonymous · 0⤊ 1⤋
Yes. The square root of 9 is +3 and -3.
2006-12-12 13:28:32 · answer #2 · answered by Northstar 7 · 0⤊ 1⤋
In the set of real numbers, the square root of a negative number does not exist. However in the set of complex numbers a special " number " is defined such as ( i )^2 = -1 Now the square root of a negative number is possible. For example since ( 3i )^2 = 9 i^2 and i^2 = - 1 we get ( 3i )^2 = -9 .Then the square root of -9 is 3i.
2016-05-23 16:30:47 · answer #3 · answered by ? 4 · 0⤊ 0⤋
Yes. For example, as you said: -3 x -3 = 9 and 3 x 3= 9.
A note for your knowledge: The problem is when you have to find the square root of a negative number, for example, the root of -9. In this case, mathematicians invented the number "i" which is equal to -1.
In this case then, 9 will be equal to 9 x-1 or 9 x i. thi number i is called "imaginary" and it is very useful in algebra.
2006-12-12 13:41:30 · answer #4 · answered by Anonymous · 0⤊ 1⤋
not sure, but i don't think so because if the square root of 9 is 3 than the square root of -9 would be negative 3.
2006-12-12 13:35:17 · answer #5 · answered by nikki s 1 · 0⤊ 1⤋
It is possible to have a negative square root. In the context of a story problem or any other problem that requires finding the square root, you need to determine if the negative root serves a useful purpose or is simply an unnecessary item.
Remember, this is different from the square root of a negative number which is defined as imaginary ie: the square root of -4 = 2i.
2006-12-12 13:30:59 · answer #6 · answered by young_at_heart_05 2 · 0⤊ 1⤋
-3 is the Square root of -9
2006-12-12 13:29:31 · answer #7 · answered by Anonymous · 0⤊ 2⤋
There are always two square roots of a number > 0, the positive and negative roots.
By convention, if someone refers to THE square root of a number, they mean the positive square root.
But I won't tell you what to write for your homework--you'll have to decide what your teacher is asking for based on the context.
2006-12-12 13:30:43 · answer #8 · answered by robert 3 · 0⤊ 1⤋
yes
Square root of 9 is 3 or -3 (ie ±3)
2006-12-12 13:28:44 · answer #9 · answered by Wal C 6 · 0⤊ 0⤋
Yes, it can b both. -3*-3 is 9, while 3*3 is 9. 4 every sq. root, there is a pos. and neg. solution.
Hope this helps.
2006-12-12 13:31:44 · answer #10 · answered by The Voice Inside Your Head 3 · 0⤊ 1⤋