Write each entire radical as a mixed radical in simplest form ) √243p10q

Answer 1

To simplify the given radical (√243p10q) in mixed radical form, we need to find the largest perfect square that divides 243.

The largest perfect square that divides 243 is 81 (9^2).

So, we can rewrite √243p10q as √(81 * 3)p10q.

Now we can break down the radical √(81 * 3) as √81 * √3, which simplifies to 9√3.

Therefore, the simplified radical (√243p10q) can be written as 9√3p10q.