Multiply (sqrt(7))(- sqrt(2)) Give an exact answer. (1 point)
O sqrt(5)
O sqrt(14)
- 7sqrt(2)
- sqrt(14)
- sqrt(14)
To multiply sqrt(7) by -sqrt(2), you can follow these steps:
Step 1: Multiply the coefficients (numbers outside the square roots):
-1 * -1 = 1
Step 2: Multiply the square roots:
sqrt(7) * sqrt(2) = sqrt(14)
Step 3: Combine the result from step 1 with the result from step 2:
1 * sqrt(14) = sqrt(14)
So, the exact answer is sqrt(14).
To multiply two square roots, you can simply multiply the numbers inside the square roots and keep the square root symbol. In this case, you want to multiply √7 and -√2.
Step 1: Multiply the numbers inside the square roots: 7 and 2.
√7 × -√2 = -√(7 × 2) = -√14
So, the correct answer is: -√14.