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Multiplying Radicals 1
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Question
Simplify:

Answer
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Ask by Schultz Davison. in the United States
Mar 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified form is .

Solution

Calculate or simplify the expression .
Simplify the expression by following steps:
  • step0: Solution:
  • step1: Simplify the root:
  • step2: Simplify the root:
  • step3: Calculate:
  • step4: Multiply the terms:
  • step5: Calculate:
  • step6: Calculate:

    The simplified form of is .

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Extra Insights

Did you know that the concept of square roots dates back to ancient civilizations? The Babylonians were among the first to develop methods for calculating square roots, as early as 2000 BC! They had techniques that closely resemble the algebraic processes we use today, making them pioneers in mathematics long before the term “radical” even existed.
When it comes to real-world applications, multiplying radicals can be valuable in fields like engineering and physics. For instance, in calculating areas where dimensions involve square roots, simplifying expressions ensures calculations are efficient. Plus, it’s a staple in managing formulas that depend on the Pythagorean theorem—like figuring out the height of a ladder against a wall without needing a tape measure!

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