Question

8.4 add, subtract, and multiply radical expressions
score: 6.8/22 answered: 7/22
question 8
simplify.
3√(12x)+2√(27x)=

Explanation:

Step1: Simplify $\sqrt{12x}$

$\sqrt{12x}=\sqrt{4\times3x}=2\sqrt{3x}$

Step2: Simplify $\sqrt{27x}$

$\sqrt{27x}=\sqrt{9\times3x}=3\sqrt{3x}$

Step3: Substitute simplified forms

$3\sqrt{12x}+2\sqrt{27x}=3\times2\sqrt{3x}+2\times3\sqrt{3x}$
$=6\sqrt{3x}+6\sqrt{3x}$

Step4: Combine like - terms

$6\sqrt{3x}+6\sqrt{3x}=12\sqrt{3x}$

Answer:

$12\sqrt{3x}$