Multiply 9√3 x 6√7
To multiply these two expressions, we can simplify them separately and then multiply the simplified expressions.
First, simplify 9√3:
9 * √3 = 9√3.
Next, simplify 6√7:
6 * √7 = 6√7.
Now, multiply the simplified expressions:
9√3 * 6√7 = 54√(3*7) = 54√21.
Therefore, 9√3 x 6√7 = 54√21.
To multiply these two expressions, you can use the product rule for radicals. The product rule states that the product of two radicals is equal to the radical of the product of their radicands.
Let's break down the multiplication step by step:
First, multiply the numbers outside the radical sign, which in this case are 9 and 6:
9 * 6 = 54
Next, multiply the numbers inside the radical sign, which are √3 and √7:
√3 * √7 = √(3 * 7) = √21
Finally, multiply the results of the previous steps:
54 * √21 = 54√21
So, multiplying 9√3 by 6√7 gives you 54√21 as the result.
To multiply 9√3 by 6√7, you can follow these steps:
Step 1: Multiply the coefficients (numbers outside the square roots):
9 x 6 = 54.
Step 2: Multiply the numbers inside the square roots:
√3 x √7 = √(3 x 7) = √21.
Step 3: Combine the results from step 1 and step 2:
54√21.
Therefore, 9√3 x 6√7 equals 54√21.