The square root of -70 is ±√(-1 * 10 * 7) = ±√(-1) * √(10) * √(7) = ±i√(10) * √(7) = ±i√70, since √(-1) = i.
The square root of -70 can be expressed using the imaginary unit, denoted as 'i'.
To simplify this expression, break down -70 into its factors of a perfect square and the remaining non-perfect square:
-70 = -1 * 2 * 5 * 7
Pair the perfect square factors together:
-70 = -1 * (2 * 5) * 7
-70 = -1 * 10 * 7
Now, consider -1 * 10, which is -10. Thus, the square root of -70 is ±√(-1 * 10 * 7) = ±√(-1) * √(10) * √(7) = ±i√(10) * √(7) = ±i√70, since √(-1) = i.