Solve: Square Root of 4/2 Plus Square Root of 6/3

Solve the following exercise:

42+63= \sqrt{\frac{4}{2}}+\sqrt{\frac{6}{3}}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following problem
00:03 Calculate each fraction
00:12 Every root is essentially itself multiplied by 1
00:24 It seems they have a common denominator, let's proceed to collect terms
00:27 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following exercise:

42+63= \sqrt{\frac{4}{2}}+\sqrt{\frac{6}{3}}=

2

Step-by-step solution

To solve this problem, we'll eliminate fractions under the square roots by simplifying directly:

  • Step 1: Simplify each fraction inside the square roots:
    42=2 \frac{4}{2} = 2 and 63=2 \frac{6}{3} = 2 .
  • Step 2: Apply the square root to each simplified fraction:
    42=2\sqrt{\frac{4}{2}} = \sqrt{2} and 63=2\sqrt{\frac{6}{3}} = \sqrt{2}.
  • Step 3: Add the results of the square roots:
    2+2=22\sqrt{2} + \sqrt{2} = 2\sqrt{2}.

Therefore, the solution to the problem is 222\sqrt{2}.

3

Final Answer

22 2\sqrt{2}

Practice Quiz

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Solve the following exercise:

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

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