Question

simplify each radical expression, if possible. $3\sqrt{7}-5\sqrt3{7}$\
\\(\circ\\) $-2\sqrt{7}$\
\\(\circ\\) $-2\sqrt3{7}$\
\\(\circ\\) cannot be simplified

Explanation:

Step1: Identify radical types

The expression has $\sqrt{7}$ (square root, index 2) and $\sqrt[4]{7}$ (4th root, index 4).

Step2: Check like radicals condition

Like radicals require same index and radicand. Here, indices differ (2 vs 4), so they are not like radicals and cannot be combined.

Answer:

cannot be simplified