Solve Square Root Division: √144 ÷ √4 Simplification Problem

Solve the following exercise:

1444= \frac{\sqrt{144}}{\sqrt{4}}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve this problem step by step!
00:11 First, notice that one hundred forty-four can be written as twelve squared.
00:17 Next, remember that four can be written as two squared.
00:21 The square root of a number squared will cancel the square, leaving just the number.
00:26 Let's use this formula in our problem and remove the squares.
00:32 Great job! We've found our solution. Keep practicing, and you'll get even better.

Step-by-step written solution

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1

Understand the problem

Solve the following exercise:

1444= \frac{\sqrt{144}}{\sqrt{4}}=

2

Step-by-step solution

We are tasked with solving the expression 1444 \frac{\sqrt{144}}{\sqrt{4}} . To proceed, we will use the square root quotient property.

According to the square root quotient property, ab=ab \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} . Applying this to the given expression, we have:

1444=1444 \frac{\sqrt{144}}{\sqrt{4}} = \sqrt{\frac{144}{4}}

Next, simplify the fraction inside the square root:

1444=36 \frac{144}{4} = 36

Now, we need to find the square root of 36:

36=6 \sqrt{36} = 6

Thus, the value of 1444 \frac{\sqrt{144}}{\sqrt{4}} is 6 6 .

Therefore, the solution to the problem is 6 \boxed{6} .

3

Final Answer

6 6

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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