Solve Square Root: Simplifying √(144/36) Step by Step

Solve the following exercise:

14436= \sqrt{\frac{144}{36}}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's solve this problem together.
00:12 When we have a root of a fraction, like A divided by B,
00:17 we can write it as the root of A, over the root of B.
00:21 Now, let's apply this formula to our exercise.
00:25 Break down one hundred forty-four to twelve squared.
00:30 Break down thirty-six to six squared.
00:35 The root of A squared cancels out the square.
00:39 Let's use this to simplify and cancel the squares.
00:45 And there we have it! That is the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following exercise:

14436= \sqrt{\frac{144}{36}}=

2

Step-by-step solution

To solve the problem 14436 \sqrt{\frac{144}{36}} , we will proceed with the following steps:

  • Step 1: Simplify the fraction 14436\frac{144}{36}. This equals to 4 because 14436=144÷3636÷36=41 \frac{144}{36} = \frac{144 \div 36}{36 \div 36} = \frac{4}{1}.
  • Step 2: Find the square root of the simplified fraction. Since 14436\frac{144}{36} simplifies to 4, we find 4\sqrt{4}.
  • Step 3: Calculate 4\sqrt{4}, which equals 2.

Therefore, the solution to the problem is 2 2 .

3

Final Answer

2 2

Practice Quiz

Test your knowledge with interactive questions

Choose the expression that is equal to the following:

\( \sqrt{a}:\sqrt{b} \)

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