Math Problem Statement

Simplify the expression 8√8 - √8 - 4√8 + √32.

Solution

The expression shown in the image is:

88848+328\sqrt{8} - \sqrt{8} - 4\sqrt{8} + \sqrt{32}

Step 1: Simplify 32\sqrt{32}

[ \sqrt{32} = \sqrt{16 \cdot 2} =

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Math Problem Analysis

Mathematical Concepts

Simplification of radical expressions
Properties of square roots

Formulas

√(a*b) = √a * √b

Theorems

Properties of radicals (e.g., √(a*b) = √a√b, combining like terms with square roots)

Suitable Grade Level

Grades 8-10