Respuesta :
The expression √-225 in its simplest form is; 15i.
According to the question;
- We are required to write the expression √-225 in its simplest form.
Writing the simplest form requires that we first know that the square root of a negative number yields a complex number.
The simplification is as follows;
- √-225 = √(225 × -1)
- = √225 × √-1
- = 15 √-1.
We must recall that √-1 = i (From complex numbers).
Ultimately, the expression √-225 in its simplest terms is; 15i.
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