Question

Which of the following is irrational?

a 3.6363636363636363...

b 52.781654292

c −7 8/37

d √3/4

Answer 1

Why is that one irrational?

Answer 2

Estimate the value of 6×2–√. Which of the following choices is the best estimate?

a 9.8
b 7.1
c 6.4
d 8.4

Answer 3

...Uhm do you mean a which is 9.8?

Answer 4

Which statement is true about the square root of 28?

a It is between 4 and 5, probably closer to 5.
b It is between 5 and 6, probably closer to 5.
c It is between 6 and 7, probably closer to 6.
d It is between 5 and 6, probably closer to 6.

Answer 5

d √3/4

Answer 6

The square root of 3 (√3) is an irrational number because it cannot be expressed as a fraction p/q, where p and q are integers. The number √3/4 is also irrational because it is the division of an irrational number (√3) by an integer (4) which does not result in a rational number.

Answer 7

To estimate the value of 6×2–√, we can first find the square root of 2, which is approximately 1.414. Then, we can substitute that value into the expression:

6 × 2 – √ ≈ 6 × 2 – 1.414 ≈ 12 – 1.414 = 10.586.

Among the given choices, the best estimate is d) 8.4, which is the closest value to 10.586.

Answer 8

Apologies for the confusion. Yes, you are correct. The best estimate for the value of 6×2–√ among the given choices is a) 9.8, which is closer to 10.586.

Answer 9

To determine which statement is true about the square root of 28, we can find an estimate for its value.

√28 is between √25 and √36, which is between 5 and 6.

The square root of 28 is approximately 5.29, so the correct statement is:

b) It is between 5 and 6, probably closer to 5.