Question

simplify.
$8\sqrt{14}-\sqrt{14}$

Explanation:

Step1: Treat radicals like variables

Note that $\sqrt{14}$ is like a common term, and $\sqrt{14} = 1\sqrt{14}$.

Step2: Subtract coefficients

Subtract the coefficients of $\sqrt{14}$:
$8\sqrt{14} - 1\sqrt{14} = (8-1)\sqrt{14}$

Step3: Calculate coefficient difference

Compute $8-1$:
$8-1=7$

Answer:

$7\sqrt{14}$