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8.4 add, subtract, and multiply radical expressions score: 3.8/22 answe…

Question

8.4 add, subtract, and multiply radical expressions
score: 3.8/22 answered: 4/22
question 5
simplify.
8\sqrt{c}-3\sqrt{c}=

Explanation:

Step1: Identify like - terms

The terms $8\sqrt{c}$ and $3\sqrt{c}$ are like - terms since they have the same radical part $\sqrt{c}$.

Step2: Subtract the coefficients

We subtract the coefficients of the like - terms. The coefficient of $8\sqrt{c}$ is 8 and the coefficient of $3\sqrt{c}$ is 3. So, $(8 - 3)\sqrt{c}$.

Step3: Calculate the result

$8-3 = 5$, so $(8 - 3)\sqrt{c}=5\sqrt{c}$.

Answer:

$5\sqrt{c}$