Identify which condition is necessary for a number to be rational.
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A number is rational if it can be expressed as a fraction (ratio) of two integers, where the denominator is not zero.
Estimate the value of 6×2–√. Which of the following choices is the best estimate?
To estimate the value of 6×2–√, we can simplify it step by step.
First, let's calculate 2–√. This means taking the square root of 2. The square root of 2 is approximately 1.414.
Now, we can substitute 2–√ = 1.414 into the expression:
6×1.414 ≈ 8.484
Therefore, the best estimate for 6×2–√ is 8.484.
Which statement is true about the square root of 28?
The statement that is true about the square root of 28 is:
The square root of 28 is an irrational number.
This is because 28 is not a perfect square, and the square root of a non-perfect square is an irrational number.
Which statement is true about the integer fraction that equals the square root of 2?
The statement that is true about the integer fraction that equals the square root of 2 is:
There is no integer fraction that equals the square root of 2.
This is because the square root of 2 is an irrational number, meaning it cannot be expressed as a fraction of two integers. No matter how many integers we try to divide, we cannot find a fraction that equals the square root of 2 exactly.
Which of the following is irrational?(1 point)
Responses
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3.6363636363636363...
3.6363636363636363...
52.781654292