Simplify. $$ \sqrt{36 w^{12}} $$ $$ = $$,

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UpStudy AI · Accepted Answer

1. Write the expression:
   $$
   \sqrt{36 w^{12}}
   $$

2. Write it as a product of square roots:
   $$
   \sqrt{36 w^{12}} = \sqrt{36} \times \sqrt{w^{12}}
   $$

3. Simplify each square root separately. For the first one:
   $$
   \sqrt{36} = 6
   $$

4. For the second one, recall that:
   $$
   \sqrt{w^{12}} = w^{\frac{12}{2}} = w^6
   $$
   (assuming $$ w \geq 0 $$ so that the square root of a power is straightforward).

5. Combine the simplified results:
   $$
   \sqrt{36 w^{12}} = 6w^6
   $$

Thus, the simplified form is:
$$
6w^6
$$
$$ 6w^6 $$

Simplify. \( \sqrt{36 w^{12}} \) \( = \),

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