Answer:
Assuming the variable is included under the radical,
-40k²√(10)
Step-by-step explanation:
First we will simplify the first factor,
We will write 20 as a product of factors:
We know the square root of 2 is 2, so we pull a 2 out:
Now we will simplify the second factor,
We will rewrite 8 as a product of factors, as well as the variable:
The square root of 2 is 2, so we pull a 2 out. Additionally, the square root of k² is k, so we pull that out:
This gives us the product
Multiplying the coefficients, we have
Multiplying the two radicals, we have
The square root of k² is k, so we pull a k out, leaving