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Answer :
This is easier than it may appear.
To find the square root of a fraction, you simply have to find the square root of the numerator and denominator separately.
In this problem, that just means finding the square root of 1 and the square root of 25.
√1 = 1 since 1•1=1
√25 = 5 since 5•5=25.
So the square root of 1/25 is 1/5.
Checking your work you can multiply 1/5 by 1/5 to be sure.
1/5 • 1/5 = 1/25 so that confirms this is the correct answer.
To find the square root of a fraction, you simply have to find the square root of the numerator and denominator separately.
In this problem, that just means finding the square root of 1 and the square root of 25.
√1 = 1 since 1•1=1
√25 = 5 since 5•5=25.
So the square root of 1/25 is 1/5.
Checking your work you can multiply 1/5 by 1/5 to be sure.
1/5 • 1/5 = 1/25 so that confirms this is the correct answer.
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Final answer:
The square root of 1 over 25 equals 1/5 or 0.2. This value is obtained by separately taking the square root of the numerator (which is 1) and the denominator (which is 25), and then dividing the two results.
Explanation:
The question is asking for the square root of 1 over 25. First, we can simplify this as the square root of 1/25. Remember that taking the square root of a fraction involves taking the square root of the numerator (top number) and the denominator (bottom number) separately. In other words, it would be sqrt(1)/sqrt(25). The square root of 1 is 1, and the square root of 25 is 5, based on the fact that 5² = 5 x 5 = 25, hence 5 is being squared.
Therefore, the square root of 1 over 25 equals 1/5, or 0.2 when expressed as a decimal. This means that, if we multiply 0.2 by itself (or square it), we would get 1/25 or 0.04 as the result. Thus, the square root of 1 over 25 or 1/25 is 0.2.
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