Multiply 9√3 • 6√7. Give an exact answer.
To multiply these two expressions, we can multiply the numbers outside the square root and multiply the numbers inside the square root separately.
9√3 • 6√7 = (9 • 6) • (√3 • √7)
= 54 • √3 • √7
The square root of 3 times the square root of 7 can be simplified as the square root of their product.
= 54 • √(3 • 7)
= 54 • √(21)
So the exact answer is 54√(21).
To multiply 9√3 by 6√7, we can use the property of multiplication of square roots.
First, we multiply the numbers in front of the square roots: 9 * 6 = 54.
Then, we multiply the numbers inside the square roots: √3 * √7 = √(3 * 7) = √21.
Combining these two results, the exact answer is 54√21.
To multiply two square root expressions, you can follow these steps:
Step 1: Multiply the numbers outside the square roots.
In this case, 9 and 6 multiply to give 54.
Step 2: Multiply the numbers inside the square roots.
In this case, √3 and √7 are multiplied to give √21.
Step 3: Combine the numbers outside the square roots with the numbers inside.
The result of step 1 is 54, and the result of step 2 is √21.
So, the exact answer to 9√3 • 6√7 is 54√21.