Would i write the squareroot of -56 "-56" or just "56"?

Question

Would i write the squareroot of -56 "-56" or just "56"?

Answer 1

You would wright, 8i. The i means imagineary number, because you can never do the sqare root of a negaive number.  

Answer 2

negative sqrt is imaginary ... you would probably want to write i sqrt(56)

Answer 3

-56

Answer 4

The square root of a negative number is not a real number.  It is a complex number.

In complex numbers i is defined as the square root of -1.

So the correct way to write this is  i sqrt(56)    <<<<<

If you care this can be simplified.

56 = 4 x 14.  sqrt(4) = 2

So it can also be written as 2i sqrt(14)   <<<<<

Answer 5

rt(- 56) is not a real number.

Answer 6

sqrt(-56) = sqrt(4)*sqrt(14)*sqrt(-1)

= 2isqrt(14) since sqrt(-1) = i