Question

√9а²/b10, если а > 0, b < 0

Answer 1

Так как а>0,то из под корня убираем и получаем 3а

Так как b<0,то справедливо поставить знак минус перед дробью и получаем -(3а/5b)

Answer 2

To simplify the expression √(9a²/b10) with the given conditions (a > 0 and b < 0), we first need to identify the factors under the square root.

√(9a²/b10)

Step 1: Simplify the expression under the square root: 9a²/b10

Step 2: Since b < 0, we can rewrite the expression as: 9a²/(-b * 10)

Step 3: Now, since a > 0, we can further simplify the expression as: 9a²/(-10b)

Step 4: Finally, the square root of this expression is: √(9a²/(-10b))

However, since b is negative and we have a square root, the result will involve imaginary numbers (involving the square root of -1). If we consider the imaginary unit "i," the result will be:

(3a/√10) * √(-1) or (3a/√10) * i

So, the simplified expression is (3a/√10) * i.