SOLUTION: Prove that the square root of any perfect square number is equal to positive (+) and negative (-).

SOLUTION: Prove that the square root of any perfect square number is equal to positive (+) and negative (-).

Algebra.Com

Question 339040: Prove that the square root of any perfect square number is equal to positive (+) and negative (-).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If n^2 is the number, then n*n = n^2 and (-n)*(-n) = n^2.
That applies to all numbers, not just perfect squares.

RELATED QUESTIONS
3. Determine whether the following statements are always true·, sometimes true and never (answered by Glaviolette)

hence,prove algebraically that the sum of any two consecutive terms is a perfect square... (answered by Edwin McCravy)

The sum of twice a number and 1 is equal to 3 times the positive square root of the... (answered by mananth)

Prove that if 1 is added to the product of any four consecutive integers, the sum is a... (answered by ikleyn,Boreal,KMST)

What tis the square root of negative 49 equal to written as a complex number? (answered by Alan3354,ikleyn)

The number $100$ has four perfect square divisors, namely $1,$ $4,$ $25,$ and $100.$... (answered by greenestamps)

The square root of a whole number that is not a perfect square is... (answered by MathLover1,Alan3354)

Is it possible to find the square root of a number that is not a perfect square without a (answered by stanbon,checkley75)

Prove that no number of the type 4k+2 be a perfect... (answered by Edwin McCravy)