Question

8.4 add, subtract, and multiply radical expressions
score: 4.8/22 answered: 5/22
question 6
simplify.
5\sqrt{z}+3\sqrt{z}=

Explanation:

Step1: Combine like - terms

Since both $5\sqrt{z}$ and $3\sqrt{z}$ have the same radical part $\sqrt{z}$, we can add their coefficients.
$5\sqrt{z}+3\sqrt{z}=(5 + 3)\sqrt{z}$

Step2: Calculate the sum of coefficients

$5+3 = 8$, so $(5 + 3)\sqrt{z}=8\sqrt{z}$

Answer:

$8\sqrt{z}$