Oh, what a happy little question! When we take the square root of 0.1111111111 repeating, we get 0.3333333333 repeating. It's like painting a lovely pattern of threes dancing together on our canvas of numbers. Just remember, math is all about finding beauty in the patterns and shapes it creates.
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Yes. For example, the square root of 1/9.
Neither; it is a non-repeating, non-terminating decimal - it is an irrational value.
Yes, because 0.44444.. is 4/9 and sqrt is 2/3 = .6666666...
The principal square root is the non-negative square root.
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.