Who are the experts?Our certified Educators are actual professors, teachers, and scholars who usage their scholastic expertise to tackle her toughest questions. Educators go v a rigorous applications process, and every price they send is the review by our in-house editorial team.

You are watching: What is the square root of negative 16

If you write `sqrt(16)` this is equal to 4. This is since the `sqrt(n)` without a authorize in prior signifies the principal square source which is constantly positive. To represent both the hopeful and an adverse square root we usage `+-sqrt(16)` i m sorry is same to both +4 and also -4. But when...

Start her 48-hour free trial to unlock this answer and also thousands more. Enjoy aramuseum.org ad-free and also cancel anytime.

If you write `sqrt(16)` this is equal to 4. This is since the `sqrt(n)` there is no a sign in former signifies the principal square source which is always positive. To signify both the hopeful and an unfavorable square root we use `+-sqrt(16)` i m sorry is equal to both +4 and also -4. However when friend ask in native what is the square root of 16 it is 4 or -4. The factor for this is that `y=sqrt(x)` is a function, when `y=+-sqrt(x)` is no a duty because one value of x offers two outputs.

Hope that helps...

Actually, it is!

The kind for a square root (otherwise recognized as a radical) is

r^2 = x

which method that the square source of x is a number r, which when multiplied by chin (r * r) yields x.

So in this case, 4^2 = (4 * 4) = 16, yet also

(-4)^2 = (-4 * -4) = 16

So any kind of positive actual number, like 16, actually has 2 square roots, one positive, the various other negative. The positive square root is termed the "principal square root," the an unfavorable square source is unfortunately unnamed. For this reason there"s a bit of a misnomer; once you speak "square root" it really refers to both an adverse and positive roots, however it has pertained to mean only the hopeful square root.

authorized by aramuseum.org Editorial Team

Submit inquiry

check out all

## Related Questions

Browse all
Math

latest answer post December 04, 2014 in ~ 4:56:47 am

What is square root of 169?

Math

latest answer posted November 19, 2011 in ~ 2:56:34 am

What is the square root of 121?

Math

latest answer post December 21, 2010 at 2:45:00 am

What is the square root of 3 + 4i?

Math

recent answer posted June 15, 2010 in ~ 3:46:09 to be

how do u discover the square source of 1/2 * (square root of 8 + square source of 2)?

Math

latest answer post January 31, 2011 at 3:35:26 to be

What is the square root of (8 + 6i)?