We're glad you stopped by Simplify tex sqrt frac 1 25 tex Select the correct choice below and if necessary fill in the answer box within your choice A tex. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
To simplify [tex]\(\sqrt{\frac{1}{25}}\)[/tex], you need to find the square root of the fraction [tex]\(\frac{1}{25}\)[/tex].
Step 1: Break it down into separate roots.
The square root of a fraction [tex]\(\frac{a}{b}\)[/tex] is the same as [tex]\(\frac{\sqrt{a}}{\sqrt{b}}\)[/tex]. This means:
[tex]\[
\sqrt{\frac{1}{25}} = \frac{\sqrt{1}}{\sqrt{25}}
\][/tex]
Step 2: Calculate each square root.
- [tex]\(\sqrt{1} = 1\)[/tex] because 1 times 1 equals 1.
- [tex]\(\sqrt{25} = 5\)[/tex] because 5 times 5 equals 25.
Step 3: Divide the results.
[tex]\[
\frac{\sqrt{1}}{\sqrt{25}} = \frac{1}{5}
\][/tex]
Thus, [tex]\(\sqrt{\frac{1}{25}} = \frac{1}{5}\)[/tex].
Step 4: Convert the fraction to a decimal (if needed).
[tex]\(\frac{1}{5}\)[/tex] is equal to 0.2 in decimal form.
Therefore, the simplified form of [tex]\(\sqrt{\frac{1}{25}}\)[/tex] is 0.2.
The correct choice is:
A. [tex]\(\sqrt{\frac{1}{25}} = 0.2\)[/tex]
Step 1: Break it down into separate roots.
The square root of a fraction [tex]\(\frac{a}{b}\)[/tex] is the same as [tex]\(\frac{\sqrt{a}}{\sqrt{b}}\)[/tex]. This means:
[tex]\[
\sqrt{\frac{1}{25}} = \frac{\sqrt{1}}{\sqrt{25}}
\][/tex]
Step 2: Calculate each square root.
- [tex]\(\sqrt{1} = 1\)[/tex] because 1 times 1 equals 1.
- [tex]\(\sqrt{25} = 5\)[/tex] because 5 times 5 equals 25.
Step 3: Divide the results.
[tex]\[
\frac{\sqrt{1}}{\sqrt{25}} = \frac{1}{5}
\][/tex]
Thus, [tex]\(\sqrt{\frac{1}{25}} = \frac{1}{5}\)[/tex].
Step 4: Convert the fraction to a decimal (if needed).
[tex]\(\frac{1}{5}\)[/tex] is equal to 0.2 in decimal form.
Therefore, the simplified form of [tex]\(\sqrt{\frac{1}{25}}\)[/tex] is 0.2.
The correct choice is:
A. [tex]\(\sqrt{\frac{1}{25}} = 0.2\)[/tex]
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