Question

Simplify by combining like radicals. 2√6 + 6√6

Answer 1

Sum of Radicals

Two radicals can be added only if their indexes and radicands are equal.

For example, these two radicals cannot be added:

$\sqrt[]{a}+\sqrt[3]{a}$

Because they don't have the same index even though they have the same radicand.

We have the sum of:

$2\sqrt[]{6}+6\sqrt[]{6}$

The radicands and indexes are exactly equal, so we can add their coefficients as follows:

$2\sqrt[]{6}+6\sqrt[]{6}=8\sqrt[]{6}$