9 √3 * 6 √7
To multiply 9√3 by 6√7, we need to multiply the numbers outside the square roots (9 and 6) and multiply the numbers inside the square roots (√3 and √7) separately, and then combine the results.
So, 9 √3 * 6 √7 = (9 * 6) * (√3 * √7)
= 54 * √(3 * 7)
= 54 * √21
Therefore, the product of 9√3 and 6√7 is 54√21.
To simplify the expression 9√3 * 6√7, you can multiply the coefficients and simplify the square roots separately.
Step 1: Multiply the coefficients: 9 * 6 = 54.
Step 2: Multiply the square roots: √3 * √7 = √(3 * 7) = √21.
Therefore, 9√3 * 6√7 simplifies to 54√21.
To simplify the expression 9√3 * 6√7, you can follow these steps:
Step 1: Multiply the numbers outside the square roots: 9 * 6 = 54.
Step 2: Multiply the numbers inside the square roots: √3 * √7.
To multiply square roots, you can use the property that √a * √b = √(a * b).
Step 3: Apply the property to √3 * √7: √(3 * 7) = √21.
Putting it all together, the simplified expression is 54√21.