Question

What is the following sum? 3b^2(^3 √54a) + 3(^3 √2ab^6)

Answer 1

Answer:

$12b^2\sqrt[3]{2a}$

Step-by-step explanation:

Our original expression is

$3b^2(\sqrt[3]{54a})+3(\sqrt[3]{2ab^6})$

We will first expand the terms under the cubed roots:

$3b^2(\sqrt[3]{3*3*3*2*a})+3(\sqrt[3]{2a*b*b*b*b*b*b})$

Since we have cubed roots, we are looking for groups of 3 factors.  In the first term, we have three 3's; this means we can bring a 3 out.  In the second term, we have six b's; this means we can bring out 2 b's:

$3b^2(3\sqrt[3]{2a})+3(b^2\sqrt[3]{2a})\\\\=9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}$

Lastly, combine like terms:

$12b^2\sqrt[3]{2a}$

Answer 2

Answer

$12b^{2} \sqrt[3]{2a}$

Step-by-step explanation: