Question

Which of the following numbers is irrational? *
1 point
A. √225
B. √1
C. √10 000
D. √56
7. Estimate √5 to the nearest hundredth. *
1 point
A. 5.1
B. 2.24
C. 2.10
D. 2.5
8. Between which two consecutive integers does the √50 lie? *
1 point
A. 6 and 7
B. 7 and 8
C. 8 and 9
D. -6 and -7
9. Determine the principal root of √784 . *
1 point
A. 28
B. – 28
C. 27
D. 29
10. *
1 point
Captionless Image
A. 5
B. 15
C. – 5
D. – 15
11. Between which two consecutive integers does the resulting value in the expression 4+√5 lie? *
1 point
A. 4 and 5
B. 5 and 6
C. 2 and 3
D. 6 and 7
12. *
1 point
Captionless Image

A

B.

C

D.
13. What is the resulting value when you perform the indicated operation in √400 −√169 ? *
1 point
A. 7
B. 17
C. 8
D. – 7
14. 65 is halfway between what two integers? *
1 point
A. 36 and 81
B. 49 and 81
C. 64 and 81
D. 49 and 100
15. A central pivot irrigation system can water a circular garden with an area of 314square meter. What is the radius of the garden the irrigation system can water? *
1 point
A. 3.14 m
B. 11 m
C. 9.5 m
D. 10 m​

Answer 1

Answer:

1. a

2.b

3.A

4.D

5.C

6.B

7.

8.C

9.A

10.D

Answer 2

Given:

A set of questions on irrational numbers.

To Find:

Solutions to the irrational quantities.

Solution:

1. An irrational number is defined as the number which cannot be described in the form of a fraction, an irrational number can never be converted into a (p/q) form,

= > 225, 1 ,10000 are perfect squares hence they are rational.

= > 56, is not a perfect square hence √56 is an irrational number. (Question 1 – Option D).

2. √5, when expressed to the nearest hundredth is nearest to 2.24 when compared to the remaining options. Hence 2.24 is the correct answer. (Question 2 – Option B).

3. √50 is greater than perfect square value 49 and less than perfect square value 64, Hence √50 lies between 7 and 8. (Question 3 Option B).

4. √784 is a perfect number and the primary value is +28. (Question 4 – Option A).

5. 4+√5 is approximately equal to 4+2.24, = 6.24. Hence, it lies between 6 and 7. (Question 5- Option D).

6. √400-√169 = 20 – 13 = 7. (Question 6 – Option A).

7. 65 is the average of 130, from the given options 49 and 81 sums up to 130 and their average is 65. (Question 7 – Option B).

8. It is given that the area of the circle is 314 meters square,

= > Area of circle = 314 = 3.14 x r x r,

= > 100 = r x r,

= > r = 10 meters. (Question 8 - Option D).