Question

perform the indicated operation. assume all variables are positive.
$11\sqrt{2z}-5\sqrt{2z}=\square$

Explanation:

Step1: Identify like radical terms

Both terms have $\sqrt{2z}$ as the radical part.

Step2: Subtract the coefficients

Subtract the numerical coefficients of the like radicals:
$11\sqrt{2z} - 5\sqrt{2z} = (11 - 5)\sqrt{2z}$

Step3: Calculate coefficient difference

Compute $11 - 5$ and simplify:
$(11 - 5)\sqrt{2z} = 6\sqrt{2z}$

Answer:

$6\sqrt{2z}$