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Answer:

D. -8√70 + 7√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

Algebra I

  • Simplifying radicals

Explanation:

Step 1: Define

Identify

√7(-8√10 + √14)

Step 2: Simplify

  1. [Distributive Property] Distribute √7: -8√70 + √98
  2. Reduce: -8√70 + 7√2
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