Multiply (√7) (√−2) . Give an exact answer
To multiply (√7) (√−2), we can simplify the expression as follows:
(√7) (√−2) = √(7 * -2) = √(-14).
Since the square root of a negative number is undefined in the set of real numbers, there is no exact answer for this expression.
divide 8√ 6/2. provide exact answer
divide 8√6/2. provide exact answer
To multiply (√7) (√−2), we can simplify each square root first:
The square root of 7 (√7) cannot be simplified further, so we leave it as it is.
The square root of -2 (√−2) can be simplified using imaginary numbers. We can rewrite it as √(2) * √(-1) or √(2) * i, where i represents the imaginary unit (√(-1)).
Now that we have simplified the square roots, we multiply (√7) (√−2) as follows:
(√7) (√−2) = (√7) * (√2) * i
Multiplying the constants outside the square roots together, we get:
√14 * i
Therefore, the exact answer of (√7) (√−2) is √14 * i.
divide 8√6/2. provide exact answer
To multiply (√7) (√−2) and obtain an exact answer, we can use the properties of square roots.
First, let's simplify each square root individually:
√7 is the square root of 7, which cannot be simplified further because 7 is a prime number.
√−2 can be rewritten as √(−1) ∙ √2.
The square root of −1, √(−1), is denoted by the imaginary unit, "i." So, we have i√2.
Now, let's multiply the simplified square roots:
(√7) (√−2) = √7 ∙ i√2.
Next, we can combine the square roots:
√7 ∙ i√2 = (√7 ∙ √2) ∙ i.
Since the product of two square roots is equivalent to the square root of their product, we have:
(√7 ∙ √2) ∙ i = √(7 ∙ 2) ∙ i = √14 ∙ i.
Therefore, (√7) (√−2) = √14 ∙ i.
This is the exact answer for the multiplication of (√7) (√−2).