Question

8.4 add, subtract, and multiply radical expressions
score: 5.8/22 answered: 6/22
question 7
simplify.
$5sqrt{3x}+2sqrt{3x}=$
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Explanation:

Step1: Identify like - radicals

The terms $5\sqrt{3x}$ and $2\sqrt{3x}$ are like - radicals since they have the same radicand ($3x$).

Step2: Combine coefficients

When adding like - radicals, we add the coefficients. The coefficient of the first term is 5 and the coefficient of the second term is 2. So, $(5 + 2)\sqrt{3x}$.

Step3: Calculate sum of coefficients

$5+2 = 7$, so the result is $7\sqrt{3x}$.

Answer:

$7\sqrt{3x}$