Question

What is this expression in simplified form?

(√22) (5√2)
O A. 10√11
O B.
12√11
O c.
20v/11
OD. 24√/11

Answer 1

General Formulas and Concepts

Pre-Algebra

Radicals

• Simplifying radicals

Application

Step 1: Define

Let's organize what the problem gives us.

We are given an expression to simplify:
`\displaystyle (√(22))(5 √(2))`

Step 2: Work

Recall the specific rules to simplify radicals. We will apply those rules here to help us answer the question:

`\displaystyle\begin{aligned}(√(22))(5 √(2)) & = 5 √(44) \\& = 5 √(4 \cdot 11) \\& = (5 √(4))(√(11)) \\& = (5 \cdot 2)(√(11)) \\& = \boxed{ 10 √(11) }\end{aligned}`

∴ the expression (√22)(5√2) simplifies down to 10√11.

Answer

∴ the expression in simplified form is equal to A. 10√11.

___

Topic: Pre-Algebra

Unit: Radicals