Question

current objective
simplify variable expressions with square roots

question

simplify: \\(\sqrt{225m^{36}u^{30}}\\).

you may assume any variables are greater than zero.

provide your answer below:

Explanation:

Separate the radical into numerical and variable factors

$$ \sqrt{225m^{36}u^{30}} = \sqrt{225} \cdot \sqrt{m^{36}} \cdot \sqrt{u^{30}} $$

Evaluate each square root factor

$$
LATEXBLOCK0
$$

Combine the simplified factors

$$ 15 \cdot m^{18} \cdot u^{15} = 15m^{18}u^{15} $$

Answer:

Simplify: \(\sqrt{225m^{36}u^{30}}\).

You may assume any variables are greater than zero.

Provide your answer below:
<blank>\(15m^{18}u^{15}\)</blank>