1 answer
(click or scroll down)
To multiply \( 9\sqrt{3} \) and \( 6\sqrt{7} \), you can use the following steps:
1. Multiply the coefficients (the numbers in front of the square roots).
2. Multiply the square roots.
So, it looks like this:
\[
(9\sqrt{3})(6\sqrt{7}) = (9 \times 6)(\sqrt{3} \times \sqrt{7})
\]
Calculating the coefficients:
\[
9 \times 6 = 54
\]
Now, multiplying the square roots:
\[
\sqrt{3} \times \sqrt{7} = \sqrt{21}
\]
Putting it all together, we get:
\[
9\sqrt{3} \times 6\sqrt{7} = 54\sqrt{21}
\]
Thus, the exact result is:
\[
54\sqrt{21}
\]