3√4 is irrational because it involves taking the cube root of 4, which is not a perfect cube.
52.781654292 is rational because it is a finite decimal.
−7837 is rational because it is a whole number.
3.6363636363636363... is rational because it is a repeating decimal.
Which of the following is irrational?(1 point)
Responses
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
52.781654292
52.781654292
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3.6363636363636363...
6 answers
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
9.8
9.8
7.1
Responses
6.4
6.4
8.4
8.4
9.8
9.8
7.1
To estimate the value of 6×2–√, we first calculate the square root of 2. √2 is approximately 1.41.
Next, we multiply 6 by 1.41 and subtract it from 2.
6 × 1.41 = 8.46
2 - 8.46 = -6.46
Based on this calculation, the closest estimate from the given choices would be -6.46. However, none of the provided responses match this estimate.
Next, we multiply 6 by 1.41 and subtract it from 2.
6 × 1.41 = 8.46
2 - 8.46 = -6.46
Based on this calculation, the closest estimate from the given choices would be -6.46. However, none of the provided responses match this estimate.
Which statement is true about the square root of 28?(1 point)
Responses
It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.
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 4 and 5, probably closer to 5.
Responses
It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.
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 4 and 5, probably closer to 5.
To determine the statement that is true about the square root of 28, we can calculate an approximation.
The square root of 28 is approximately 5.29, which is between 5 and 6.
Therefore, the statement "It is between 5 and 6, probably closer to 5" is true for the square root of 28.
The square root of 28 is approximately 5.29, which is between 5 and 6.
Therefore, the statement "It is between 5 and 6, probably closer to 5" is true for the square root of 28.
Which of the following is irrational?(1 point)
Responses
52.781654292
52.781654292
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
3.6363636363636363...
3.6363636363636363...
Responses
52.781654292
52.781654292
−7837
negative 7 Start Fraction 8 over 37 End Fraction
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
3.6363636363636363...
3.6363636363636363...
1 answer