Given x>0 and y>0, match the original radicar expressions (on the left) with their fully simplified expressions (on the right). V6 + V24 -3/2 – 3V18 + 2/3 8x2 + 2xv2 V 20x - 32x3 + 2/6x – 8/2x3 + 4V24 2x /125x2y – x² /80y + 4/20x4 : 3/6 : -12/2+2/3 :: -4x/2x + 10/6x 14x2 /5y : 4a/2 – 2/5x

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Topic: Adding and Subtracting Radicals**

**Instructions:**
Given \( x > 0 \) and \( y > 0 \), match the original radical expressions on the left with their fully simplified expressions on the right.

**Original Radical Expressions:**

1. \( \sqrt{6} + \sqrt{24} \)

2. \( -3\sqrt{2} - 3\sqrt{18} + 2\sqrt{3} \)

3. \( \sqrt{8x^2} + 2x\sqrt{2} - \sqrt{20x} \)

4. \( \sqrt{32x^3} + 2\sqrt{6x} - 8\sqrt{2x^3} + 4\sqrt{24} \)

5. \( 2x\sqrt{125x^2y} - x^2\sqrt{80y} + 4\sqrt{20x^4} \)

**Matching Simplified Expressions:**

- \( 3\sqrt{6} \)
- \( -12\sqrt{2} + 2\sqrt{3} \)
- \( -4x\sqrt{2x} + 10\sqrt{6x} \)
- \( 14x^2\sqrt{5y} \)
- \( 4x\sqrt{2} - 2\sqrt{5x} \)

For each original expression, determine the corresponding simplified form by matching them with the options provided.
Transcribed Image Text:**Topic: Adding and Subtracting Radicals** **Instructions:** Given \( x > 0 \) and \( y > 0 \), match the original radical expressions on the left with their fully simplified expressions on the right. **Original Radical Expressions:** 1. \( \sqrt{6} + \sqrt{24} \) 2. \( -3\sqrt{2} - 3\sqrt{18} + 2\sqrt{3} \) 3. \( \sqrt{8x^2} + 2x\sqrt{2} - \sqrt{20x} \) 4. \( \sqrt{32x^3} + 2\sqrt{6x} - 8\sqrt{2x^3} + 4\sqrt{24} \) 5. \( 2x\sqrt{125x^2y} - x^2\sqrt{80y} + 4\sqrt{20x^4} \) **Matching Simplified Expressions:** - \( 3\sqrt{6} \) - \( -12\sqrt{2} + 2\sqrt{3} \) - \( -4x\sqrt{2x} + 10\sqrt{6x} \) - \( 14x^2\sqrt{5y} \) - \( 4x\sqrt{2} - 2\sqrt{5x} \) For each original expression, determine the corresponding simplified form by matching them with the options provided.
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