Multiply 9√3 ⋅6√7 . Give an exact answer.(1 point)
To multiply 9√3 ⋅ 6√7, we can use the property of multiplication of radicals which states that √a ⋅ √b = √(a ⋅ b).
So, 9√3 ⋅ 6√7 = 9 ⋅ 6 ⋅ √3 ⋅ √7
= 54√(3 ⋅ 7)
= 54√21.
Therefore, the exact answer is 54√21.
To multiply 9√3 ⋅ 6√7, you can multiply the numbers outside the square roots and multiply the numbers inside the square roots separately.
9 * 6 = 54
√3 * √7 = √(3 * 7) = √21
Therefore, the exact answer is 54√21.
To multiply the given expressions, 9√3 and 6√7, we can follow these steps:
Step 1: Multiply the coefficients (numbers outside the square roots): 9 * 6 = 54.
Step 2: Multiply the radicands (numbers inside the square roots): √3 * √7 = √(3 * 7) = √21.
Step 3: Combine the results from steps 1 and 2: 54√21.
Therefore, the exact answer for the multiplication 9√3 ⋅ 6√7 is 54√21.