Complex mode
To be able to do this you need to know the basics of imaginary numbers and square roots.
Step one
Simplify the radical like you normally would just ignore the negative sign for now. Click the button bellow to learn how to simplify radicals.
Step two
if the problem is √-125 then you simplify it like usual (step one)√-125 —> √-125= √5•5 —> √-125= 5√5
Now you take care of the - from the beginning. Since the negative square root is not a real number if you typed it into your calculator it would say error. That is because negative square roots are imaginary. All you have to do is ad an i and you'll be done
5i√5
Now you take care of the - from the beginning. Since the negative square root is not a real number if you typed it into your calculator it would say error. That is because negative square roots are imaginary. All you have to do is ad an i and you'll be done
5i√5
IMAGINARY number notes
imaginary numbers are often used to represent a second physical dimension.
imaginary numbers are used in combination with a real number to form something called a complex number, a+bi where a is the real part (real number)
bi is the imaginary part (real number times the imaginary unit i)
complex number is useful for representing two dimensional variables where both dimensions are physically significant
imaginary numbers are used in combination with a real number to form something called a complex number, a+bi where a is the real part (real number)
bi is the imaginary part (real number times the imaginary unit i)
complex number is useful for representing two dimensional variables where both dimensions are physically significant