Question

8.4 add, subtract, and multiply radical expressions
score: 8.8/22 answered: 9/22
question 10
simplify.
3\sqrt{45y}+2\sqrt{20y}=
question help: video written example
submit question jump to answer

Explanation:

Step1: Simplify $\sqrt{45y}$

$\sqrt{45y}=\sqrt{9\times5y}=3\sqrt{5y}$

Step2: Simplify $\sqrt{20y}$

$\sqrt{20y}=\sqrt{4\times5y}=2\sqrt{5y}$

Step3: Substitute simplified radicals

$3\sqrt{45y}+2\sqrt{20y}=3\times3\sqrt{5y}+2\times2\sqrt{5y}$

Step4: Calculate coefficients

$3\times3\sqrt{5y}+2\times2\sqrt{5y}=9\sqrt{5y}+4\sqrt{5y}$

Step5: Combine like - terms

$9\sqrt{5y}+4\sqrt{5y}=(9 + 4)\sqrt{5y}=13\sqrt{5y}$

Answer:

$13\sqrt{5y}$