Final answer:
The result of multiplying the square root of 3 by the square root of 27 is 9.
Step-by-step explanation:
To multiply the square root of 3 by the square root of 27, we can simplify the expression by multiplying the numbers inside the square roots. The square root of 3 multiplied by the square root of 27 is equal to the square root of (3 x 27), which simplifies to the square root of 81. The square root of 81 is 9, so the result of multiplying the square root of 3 by the square root of 27 is 9 (option b).