When simplified, what is the value of the square root of -48, if i to the power of 2= -1?

±4sqrt(3) i

Step-by-step explanation:

sqrt( -48)

We know the sqrt(ab) = sqrt(a) sqrt(b)

sqrt(-1) sqrt(48)

We can use this again

±sqrt(-1) sqrt(16)sqrt(3)

The sqrt(-1) = i

±i (4) sqrt(3)

±4sqrt(3) i

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: