Question 1.
State the order of the surds given below.
Answer:
i. 3, ii. 2, iii. 4, iv. 2, v. 3
Question 2.
State which of the following are surds Justify. [2 Marks each]
Answer:
= 4, which is not an irrational number.
![Chapter 2 Real Numbers Practice Set 2.3 3 word image 13768 5](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/word-image-13768-5.png)
Question 3.
Classify the given pair of surds into like surds and unlike surds. [2 Marks each]
Solution:
If the order of the surds and the radicands are same, then the surds are like surds.
![Chapter 2 Real Numbers Practice Set 2.3 4 Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 7](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/maharashtra-board-class-9-maths-solutions-chapter-695.jpeg)
![Chapter 2 Real Numbers Practice Set 2.3 5 word image 13768 8](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/word-image-13768-8.png)
![Chapter 2 Real Numbers Practice Set 2.3 6 Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 8](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/maharashtra-board-class-9-maths-solutions-chapter-696.jpeg)
![Chapter 2 Real Numbers Practice Set 2.3 7 word image 13768 10](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/word-image-13768-10.png)
![Chapter 2 Real Numbers Practice Set 2.3 8 Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 9](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/maharashtra-board-class-9-maths-solutions-chapter-697.jpeg)
![Chapter 2 Real Numbers Practice Set 2.3 9 word image 13768 12](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/word-image-13768-12.png)
![Chapter 2 Real Numbers Practice Set 2.3 10 Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 10](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/maharashtra-board-class-9-maths-solutions-chapter-698.jpeg)
![Chapter 2 Real Numbers Practice Set 2.3 11 word image 13768 14](https://mhboardsolutions.xyz/wp-content/uploads/2021/12/word-image-13768-14.png)
Here, the order of 5√5 and 5√3 is same but their radicands are not.
∴ 5√5 and √75 are unlike surds.
Question 4.
Simplify the following surds.
Solution:
Question 5.
Compare the following pair of surds.
Solution:
Question 6.
Simplify.
Solution:
Question 7.
Multiply and write the answer in the simplest form.
Solution:
Question 8.
Divide and write form.
Solution:
Question 9.
Rationalize the denominator.
Solution:
Question 1.
Solution:
Question 2.
Solution:
Question 3.
Follow the arrows and complete the chart by doing the operations given. (Textbook pg. no. 34)
Solution:
Question 4.
There are some real numbers written on a card sheet. Use these numbers and construct two examples each of addition, subtraction, multiplication and division. Solve these examples. (Textbook pg. no. 34)
Solution: