Question

the square root of a neg number in terms of i
-60
-169

Answer 1

use this idea
\[ \sqrt{ a \cdot b} = \sqrt{a} \sqrt{b} \]
to re-write each. For example
\[ \sqrt{-60} = \sqrt{-1 \cdot 60} \]
now use the rule to write
\[ \sqrt{-1} \sqrt{60} \]
finally, use the "short name" i to replace \( \sqrt{-1} \)
\[ i \sqrt{60} \]
you can simplify 60 to 2*2*3*5 which has a pair of 2's that can "come out" of the radical
in other words, another way to write this is
\[ 2 i \sqrt{15} \]