General Formulas and Concepts
Pre-Algebra
Radicals
Application
Step 1: Define
Let's organize what the problem gives us.
We are given an expression to simplify: [tex]\displaystyle (\sqrt{22})(5 \sqrt{2})[/tex]
Step 2: Work
Recall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:
[tex]\displaystyle\begin{aligned}(\sqrt{22})(5 \sqrt{2}) & = 5 \sqrt{44} \\& = 5 \sqrt{4 \cdot 11} \\& = (5 \sqrt{4})(\sqrt{11}) \\& = (5 \cdot 2)(\sqrt{11}) \\& = \boxed{ 10 \sqrt{11} }\end{aligned}[/tex]
∴ the expression (√22)(5√2) simplifies down to 10√11.
Answer
∴ the expression in simplified form is equal to A. 10√11.
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Topic: Pre-Algebra
Unit: Radicals
