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The number sqrt0.0001 is:...

The number `sqrt0.0001` is:

A

a rational number less the 0.01.

B

a rational number

C

an irrational number

D

neither a rational number nor an irrational number

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "The number √0.0001", we will follow these steps: ### Step 1: Rewrite the number in a simpler form We start with the expression: \[ \sqrt{0.0001} \] We can express 0.0001 in scientific notation: \[ 0.0001 = 1 \times 10^{-4} \] ### Step 2: Apply the square root to the scientific notation Now we apply the square root to the expression: \[ \sqrt{0.0001} = \sqrt{1 \times 10^{-4}} = \sqrt{1} \times \sqrt{10^{-4}} \] ### Step 3: Calculate the square roots We know that: \[ \sqrt{1} = 1 \] And for the second part: \[ \sqrt{10^{-4}} = 10^{-2} = \frac{1}{100} = 0.01 \] ### Step 4: Combine the results Now we combine the results from Step 2: \[ \sqrt{0.0001} = 1 \times 0.01 = 0.01 \] ### Final Answer Thus, the value of \(\sqrt{0.0001}\) is: \[ \sqrt{0.0001} = 0.01 \]
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