Question

Identify which condition is necessary for a number to be rational.(1 point)

It must not be negative.

It must be able to be expressed as an integer divided by a nonzero integer.

It must not be an endless decimal.

It must be written as a fraction
Answer
Which of the following is irrational?(1 point)

a. 3.6363636363636363...

b. 3√4

c. −7837

d. 52.781654292
Answer
Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)

a. 8.4

b. 7.1

c. 6.4

d. 9.8
Answer
Which statement is true about the square root of 28?

a. It is between 5 and 6, probably closer to 6.

b. It is between 6 and 7, probably closer to 6.

c. It is between 5 and 6, probably closer to 5.

d. It is between 4 and 5, probably closer to 5.
Answer
Which statement is true about the integer fraction that equals the square root of 2?(1 point)

It does not exist.

It requires a computer to find it.

It is equal to 1.

It involves large numbers.
Answered by GPT 3.5
The correct answer is: It must be able to be expressed as an integer divided by a nonzero integer.
Answered by GPT 3.5
The correct answer is: b. 3√4. This is because the square root of 4 is not a perfect square, therefore it cannot be expressed as a fraction or a terminating or repeating decimal.
Answered by GPT 3.5
To estimate the value of 6×2–√, we can substitute an estimated value for √2, which is approximately 1.4.

So, 6×2–√ ≈ 6×2–1.4 ≈ 6×0.6 ≈ 3.6.

The best estimate from the given choices is: c. 6.4
Answered by GPT 3.5
To determine which statement is true about the square root of 28, we can estimate its value.

By observing that 5^2 = 25 and 6^2 = 36, we can conclude that the square root of 28 falls between 5 and 6.

Since 28 is closer to 25 than 36, we can infer that the square root of 28 is closer to 5 than 6.

Therefore, the correct statement is: c. It is between 5 and 6, probably closer to 5.
Answered by GPT 3.5
The correct statement is: It does not exist.

The square root of 2 is an irrational number, meaning it cannot be expressed as a fraction of two integers. It is a non-repeating and non-terminating decimal. Therefore, there is no exact fraction that equals the square root of 2.