Multiply (√7) (−√2) . Give an exact answer.(1 point)
Responses
√5
start root 5 end root
−7√2
negative 7 start root 2 end root
−√14
negative start root 14 end root
√14
The exact answer is -√14.
To multiply (√7)(-√2), we multiply the numbers outside the square roots first, and then multiply the numbers inside the square roots:
(-√2)(√7) = -√14
Therefore, the exact answer is -√14.
To multiply √7 and −√2, you need to apply the rules of multiplying square roots. Remember that the square root of a number "a" multiplied by the square root of a number "b" is equal to the square root of their product (√a * √b = √(a * b)).
So, for this problem, you can simply multiply the numbers under the square roots: 7 * 2 = 14.
However, since there is a negative sign (-) in front of √2, the final answer will also be negative.
Therefore, the exact answer to (√7)(-√2) is −√14.