Respuesta :

Kati19

Answer:

15i

Step-by-step explanation:

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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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