Question

simplify.
$5\sqrt{10} - \sqrt{10}$

Explanation:

Step1: Identify like terms

Both terms have $\sqrt{10}$, so they are like terms.

Step2: Combine coefficients

The coefficients of $\sqrt{10}$ are 5 and 1 (since $\sqrt{10} = 1\times\sqrt{10}$). Subtract the coefficients: $5 - 1 = 4$.

Step3: Write the result

Multiply the result by $\sqrt{10}$: $4\sqrt{10}$.

Answer:

$4\sqrt{10}$