Answer :

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The square root of 0.16 = √0.16

[tex] = \sqrt{ \frac{16}{100} } = \frac{ \sqrt{16} }{ \sqrt{100} } [/tex]

[tex] = \frac{4}{10} [/tex]

[tex] = \frac{2}{5} [/tex]

The easiest way to solve this question is to convert your decimal number to a non-decimal number.

So, 0.16 is 16/100. The easiest way to get this was to see how many places to the right of the decimal the number is. It was two places to the right. The first place is tenths and hundredths. It is 16 hundredths. Which is 16/100.

The next step is to then take the fraction 16/100 and see what the square root of each number is.

Square root of 16 is 4
Square root of 100 is 10

So square root of 16/100= 4/10 *****reduce 4/10 if you can

Reduce 4/10 it is 2/5


Answer is 2/5

I hope this helps you. Please let me know.

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