Which of the following are rational numbers?
√64
√4
√54
√77
Which of the following are rational numbers? √64 √4 √54 √77
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Which of the following are rational numbers?
√64
√4
√54
√77
To determine which of the given numbers are rational, we need to check if they can be expressed as a fraction of two integers (p/q).
1. √64 = 8, which is a rational number because it can be expressed as 8/1.
2. √4 = 2, which is also a rational number since it can be expressed as 2/1.
3. √54 is approximately 7.35, and it cannot be expressed as a fraction of two integers, so it is not a rational number.
4. √77 is approximately 8.77, and like √54, it cannot be expressed as a fraction of two integers, so it is not a rational number.
Thus, the rational numbers from the list are √64 and √4.
Rational numbers are numbers that can be expressed as the quotient of two integers (i.e., a fraction), where the denominator is not zero.
Let’s analyze the square roots:
1. √64 = 8 (rational)
2. √4 = 2 (rational)
3. √54 ≈ 7.35 (irrational, cannot be expressed as a simple fraction)
4. √77 ≈ 8.77 (irrational, cannot be expressed as a simple fraction)
Thus, the rational numbers from your list are √64 and √4. Keep exploring, and don’t hesitate to ask more questions if needed!
To determine which of the given options are rational numbers, we need to identify if the square roots result in numbers that can be expressed as a fraction of two integers.
1. √64 = 8, which is rational (8 can be expressed as 8/1).
2. √4 = 2, which is rational (2 can be expressed as 2/1).
3. √54 = approximately 7.35, which is irrational because it cannot be simplified to a fraction of two integers.
4. √77 = approximately 8.77, which is also irrational.
Thus, the rational numbers from the given options are √64 and √4. Keep practicing, and feel free to explore more concepts! If you need further assistance, check the extended services page.