Question

8.4 add, subtract, and multiply radical expressions
score: 0/22 answered: 0/22
question 1
enter the following: \\(\sqrt{3a}+5:
enter the following: \\(\sqrt{3a + 5}:
enter the following: \\(\sqrt{\frac{3a}{5}}:
enter the following: \\(\frac{\sqrt{3a}}{5}:

Explanation:

Step1: Identify the radical - expression

The first expression is $\sqrt{3a}+5$, which is a sum of a square - root term and a constant.

Step2: Analyze the second expression

The second expression $\sqrt{3a + 5}$ has the sum $3a+5$ under the square - root.

Step3: Analyze the third expression

The third expression $\sqrt{\frac{3a}{5}}$ has the fraction $\frac{3a}{5}$ under the square - root.

Step4: Analyze the fourth expression

The fourth expression $\frac{\sqrt{3a}}{5}$ is a fraction where the numerator is the square - root of $3a$ and the denominator is 5.

Answer:

1. $\sqrt{3a}+5$
2. $\sqrt{3a + 5}$
3. $\sqrt{\frac{3a}{5}}$
4. $\frac{\sqrt{3a}}{5}$