Mathematical Analysis: Finding the Largest Value in a Set

Choose the largest value

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Select the largest value
00:03 Calculate the quotient of each expression
00:07 Apply this method to each expression, and determine the largest one:
00:11 The larger the number in the root, the larger its value
00:14 This is the solution

Step-by-step written solution

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1

Understand the problem

Choose the largest value

2

Step-by-step solution

To solve this problem, we will simplify each square root expression separately and compare them:

  • Simplify 42 \sqrt{\frac{4}{2}} :

    • 42=2 \sqrt{\frac{4}{2}} = \sqrt{2}

  • Simplify 63 \sqrt{\frac{6}{3}} :

    • 63=2 \sqrt{\frac{6}{3}} = \sqrt{2}

  • Simplify 84 \sqrt{\frac{8}{4}} :

    • 84=2 \sqrt{\frac{8}{4}} = \sqrt{2}

Upon simplification, each expression results in 2 \sqrt{2} . Therefore, all values are equal.

Thus, the correct choice is: All values are equal.

3

Final Answer

All values are equal

Practice Quiz

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Solve the following exercise:

\( \sqrt{\frac{2}{4}}= \)

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