Question

\sqrt{6}j^{2}k^{3}\cdot\sqrt{5j^{3}k^{3}}

Answer 1

To simplify the expression, we can combine the variables and the exponents.

First, we can combine the variables with the same base.

We have $j^{2}j^{3} = j^{2+3} = j^5$, and $k^{3}k^{3} = k^{3+3} = k^6$.

Now, let's combine the variables and constants: $\sqrt{6}\cdot\sqrt{5} \cdot j^5 \cdot k^6$

Finally, we can simplify the square roots by multiplying them: $\sqrt{6}\cdot\sqrt{5} = \sqrt{6\cdot5} = \sqrt{30}$.

The final simplified expression is $\sqrt{30}j^5k^6$.