Asked by Cake

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...
Answered by Cake
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
Answered by Cake
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.
Answer
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...
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.