Question

add. write your answer in simplest form.
$-7sqrt{60} + 4sqrt{60}$

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{60}$, so they are like radicals.

Step2: Combine coefficients

Add the coefficients of the like radicals: $-7 + 4 = -3$.

Step3: Write the result

Multiply the combined coefficient by $\sqrt{60}$: $-3\sqrt{60}$.

Step4: Simplify $\sqrt{60}$

Factor 60: $60 = 4\times15$, so $\sqrt{60} = \sqrt{4\times15} = 2\sqrt{15}$.

Step5: Substitute back

$-3\times2\sqrt{15} = -6\sqrt{15}$.

Answer:

$-6\sqrt{15}$