Find two irrational numbers between 0.6 and 0.66.

Explanation

To find two irrational numbers between 0.6 and 0.66, we can follow these steps:

### Step 1: Understand the Range
We need to find two irrational numbers that lie between 0.6 and 0.66.

### Step 2: Identify the Decimal Range
The decimal numbers between 0.6 and 0.66 can be expressed as:
- 0.6 = 0.6000...
- 0.66 = 0.6600...

### Step 3: Choose a Suitable Decimal
To find irrational numbers, we can choose decimal numbers that are non-repeating and non-terminating.

### Step 4: Find the First Irrational Number
Let's take the square root of a number that falls within our range. For example, the square root of 0.4 (which is approximately 0.632455...) lies between 0.6 and 0.66.
- First irrational number: \( \sqrt{0.4} \approx 0.632455 \)

### Step 5: Find the Second Irrational Number
Similarly, we can take the square root of another number that lies in the range. For example, the square root of 0.43 (which is approximately 0.655842...) also lies between 0.6 and 0.66.
- Second irrational number: \( \sqrt{0.43} \approx 0.655842 \)

### Conclusion
Thus, the two irrational numbers between 0.6 and 0.66 are:
1. \( \sqrt{0.4} \approx 0.632455 \)
2. \( \sqrt{0.43} \approx 0.655842 \)

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