Question

Write the number as the product of a real number and id="TexFormula1" title=" \sqrt{ - 25} = " alt=" \sqrt{ - 25} = " align="absmiddle" class="latex-formula">

Answer 1

first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.

Then, you can write:

$\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i$

because i = √-1.

Hence, the answer is 5i