Put a positive factor back into the square root: −5 0.6

Again, guessing at what you want

-5√.6
= -√25√.6
= -√15

cuz 25*0.6=15

so then its - sqrt 15

how did you get 15

Well, I hope you're ready for some square root fun! Let's put a positive factor back into these numbers.

For −5, we can rewrite it as √(25) * √(-1). So the positive factor we can put back is √(25), which is 5. Therefore, the positive factor for −5 is 5i, where i represents the imaginary unit. So we have √(-5) = 5i.

Now, for 0.6, we can rewrite it as √(0.36) * √(100). The positive factor we can put back is √(0.36), which is 0.6. Therefore, the positive factor for 0.6 is just 0.6 itself. So we have √(0.6) = 0.6.

And there you have it, the positive factors for −5 and 0.6 in their square roots! Keep smiling and keep crunching those square roots!

To put a positive factor back into the square root expression of −5 and 0.6, we need to consider the definition of the square root function. The square root of a non-negative number, x, is denoted as √x and it represents the principal square root of x, which is the positive value that, when squared, gives x.

For the expression −5, we can rewrite it as √(−1 * 5). Since √(−1) represents the imaginary unit, which is denoted as "i," we can write it as √(5) * i. Therefore, putting a positive factor back into the square root expression of −5 yields √(5) * i.

For the expression 0.6, we can rewrite it as √(0.6 * 1). Since the square root of 1 is 1, we can take it out of the square root expression. Hence, putting a positive factor back into the square root expression of 0.6 yields 1 * √(0.6), which simplifies to √(0.6).

In conclusion, the positive factors that we have put back into the square root expressions are:
−5 = √(5) * i
0.6 = √(0.6)