Q. 172 - Intermediate Algebra

Question

In the following exercises, simplify.

a.$3\sqrt{5d}+8\sqrt{5d}-11\sqrt{5d}$

b.$11\sqrt[3]{2rs}-9\sqrt[3]{2rs}+3\sqrt[3]{2rs}$

Step-by-Step Solution

Answer

On simplification, we get $0,5\sqrt[3]{2rs}$ respectively

Part (a) Step 1: Given information

Given the expression $3\sqrt{5d}+8\sqrt{5d}-11\sqrt{5d}$

Part (a) Step 2: Combine the like terms and simplify

Combining the like terms, we get

$$\begin{gathered} 3\sqrt{5d}+8\sqrt{5d}-11\sqrt{5d}=11\sqrt{5d}-11\sqrt{5d} \\ =0 \end{gathered}$$

Part (b)Step 1; Given information

Given the expression $11\sqrt[3]{2rs}-9\sqrt[3]{2rs}+\sqrt[3]{2rs}$

Part (b) Step 2: Combining like terms and simplifying

Simplifying, we get

$$\begin{gathered} 11\sqrt[3]{2rs}-9\sqrt[3]{2rs}+3\sqrt[3]{2rs}=2\sqrt[3]{2rs}+3\sqrt[3]{2rs} \\ =\sqrt[5]{2rs} \end{gathered}$$