Which of the following is irrational?(1 point)
Responses
52.781654292
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
3.6363636363636363...
−7837
3√4
Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)
Responses
6.4
6.4
8.4
8.4
7.1
7.1
9.8
The best estimate for 6×2–√ is 7.1.
Which statement is true about the square root of 28?(1 point)
Responses
It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 5.
It is between 5 and 6, probably closer to 5.
It is between 6 and 7, probably closer to 6.
The statement "It is between 5 and 6, probably closer to 5" is true about the square root of 28.
Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
It does not exist.
It does not exist.
It involves large numbers.
It involves large numbers.
It requires a computer to find it.
It requires a computer to find it.
It is equal to 1.
How bout y'all say if the the bot is correct or not? Damn
To determine which of the given numbers is irrational, we need to understand what an irrational number is. An irrational number is a real number that cannot be expressed as a simple fraction or ratio of two integers.
Let's go through the options:
1. 52.781654292: This number is a decimal, but it terminates, meaning it ends after a certain number of digits. Since it can be expressed as a finite decimal, it is a rational number.
2. 3√4: This notation represents the cube root of 4. To determine if it is irrational or not, we need to calculate its value. The cube root of 4 is approximately 1.5874010519682. This number is not a simple fraction and cannot be expressed as a ratio of two integers, so it is an irrational number.
3. 3.6363636363636363...: This number is a repeating decimal. It can be expressed as the fraction 4/11, since the decimal part repeats the sequence "36" indefinitely. Therefore, it is a rational number.
4. -7837: This number is an integer, which can always be expressed as a fraction with a denominator of 1. Thus, it is a rational number.
In summary, the only option that represents an irrational number is the number 3√4.