Multiply 9√3 • 6√7. Give an exact answer.

1 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).