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3.x* 2) 5V5x* 1) V15 V15 A) 2V5 B) 2V10 B) 3 A) V5 Vis V10 5V5 C) 3.x 3.x²V5 D) 3 2 25 V3v 3) -5 - V5 4) 2+ V3 A) -5 + 2-V6 B) –10 + 5V3 – 25+ V15 -10 + 2/5 - 5V3 + V15 + 4 Vov – 4V3v A) 2v² – 16 4V2 + Vo B) C) 20 C) 3 V2 12 + 3 V2 17+ V3 D) D) 13 14

3.x* 2) 5V5x* 1) V15 V15 A) 2V5 B) 2V10 B) 3 A) V5 Vis V10 5V5 C) 3.x 3.x²V5 D) 3 2 25 V3v 3) -5 - V5 4) 2+ V3 A) -5 + 2-V6 B) –10 + 5V3 – 25+ V15 -10 + 2/5 - 5V3 + V15 + 4 Vov – 4V3v A) 2v² – 16 4V2 + Vo B) C) 20 C) 3 V2 12 + 3 V2 17+ V3 D) D) 13 14

Algebra and Trigonometry (6th Edition)
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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The image contains four multiple-choice math problems involving square roots and radicals. Here’s a detailed transcription of each problem: 1) Simplifying Radicals: \(\frac{\sqrt{9}}{\sqrt{15}}\) - A) \(\frac{\sqrt{15}}{5}\) - B) \(\frac{2\sqrt{5}}{5}\) - C) \(\frac{\sqrt{15}}{3}\) - D) \(\frac{\sqrt{10}}{2}\) 2) Simplifying Radicals with Variables: \(\frac{3x^4}{5 \sqrt{5x^4}}\) - A) \(\frac{\sqrt{5}}{5}\) - B) \(\frac{2\sqrt{10}}{3}\) - C) \(\frac{5\sqrt{5}}{3x^2}\) - D) \(\frac{3x^2 \sqrt{5}}{25}\) 3) Simplifying Radicals with Addition and Subtraction: \(\frac{\sqrt{3v}}{\sqrt{2v^2 + 4}}\) - A) \(\frac{\sqrt{6v} - 4\sqrt{3v}}{2\sqrt{2}+\sqrt{6}}\) - B) \(\frac{2}{\sqrt{2} + \sqrt{6}}\) - C) \(\frac{3\sqrt{2}}{14}\) - D) \(12 + 3\sqrt{2}\) 4) Rationalizing and Simplifying: \(\frac{-5-\sqrt{5}}{2+\sqrt{3}}\) - A) \(-5 + 2\sqrt{6}\) - B) \(-10 + 5\sqrt{3} - 2\sqrt{5} + \sqrt{15}\) - C) \(\frac{-10 + 2\sqrt{5} - 5\sqrt{3} + \sqrt{15}}{20}\) - D) \(\frac{17 + \sqrt{3}}{13}\) Each problem involves manipulating and simplifying expressions with radicals. The solutions are provided as multiple-choice answers, each offering four options for consideration.
Transcribed Image Text:The image contains four multiple-choice math problems involving square roots and radicals. Here’s a detailed transcription of each problem: 1) Simplifying Radicals: \(\frac{\sqrt{9}}{\sqrt{15}}\) - A) \(\frac{\sqrt{15}}{5}\) - B) \(\frac{2\sqrt{5}}{5}\) - C) \(\frac{\sqrt{15}}{3}\) - D) \(\frac{\sqrt{10}}{2}\) 2) Simplifying Radicals with Variables: \(\frac{3x^4}{5 \sqrt{5x^4}}\) - A) \(\frac{\sqrt{5}}{5}\) - B) \(\frac{2\sqrt{10}}{3}\) - C) \(\frac{5\sqrt{5}}{3x^2}\) - D) \(\frac{3x^2 \sqrt{5}}{25}\) 3) Simplifying Radicals with Addition and Subtraction: \(\frac{\sqrt{3v}}{\sqrt{2v^2 + 4}}\) - A) \(\frac{\sqrt{6v} - 4\sqrt{3v}}{2\sqrt{2}+\sqrt{6}}\) - B) \(\frac{2}{\sqrt{2} + \sqrt{6}}\) - C) \(\frac{3\sqrt{2}}{14}\) - D) \(12 + 3\sqrt{2}\) 4) Rationalizing and Simplifying: \(\frac{-5-\sqrt{5}}{2+\sqrt{3}}\) - A) \(-5 + 2\sqrt{6}\) - B) \(-10 + 5\sqrt{3} - 2\sqrt{5} + \sqrt{15}\) - C) \(\frac{-10 + 2\sqrt{5} - 5\sqrt{3} + \sqrt{15}}{20}\) - D) \(\frac{17 + \sqrt{3}}{13}\) Each problem involves manipulating and simplifying expressions with radicals. The solutions are provided as multiple-choice answers, each offering four options for consideration.
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