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10 fill in the blank 0.5 points simplify, if necessary round to the nea…

Question

10 fill in the blank 0.5 points simplify, if necessary round to the nearest hundredth √0.01 type your answer...

Explanation:

Step1: Recall square root of a square

We know that if \( a^2 = b \), then \( \sqrt{b}=a \). Here, we look for a number whose square is \( 0.01 \).

Step2: Identify the square root

We know that \( 0.1\times0.1 = 0.01 \), which can be written as \( 0.1^2=0.01 \). So, by the definition of square root, \( \sqrt{0.01} = 0.1 \).

Answer:

\( 0.1 \)