Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 2.3- Real Numbers

Class 9: Maths Chapter 2.3 solutions. Complete Class 9 Maths Chapter 2.3 Notes.

Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 2.3- Real Numbers

Maharashtra Board 9th Maths Chapter 2.3, Class 9 Maths Chapter 2.3 solutions

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:
i. 51−−√3 is a surd because 51 is a positive rational number, 3 is a positive integer greater than 1 and 51−−√3 is irrational.

ii. 16−−√4 is not a surd because

= 2, which is not an irrational number.

iii. 81−−√5 is a surd because 81 is a positive rational number, 5 is a positive integer greater than 1 and 81−−√5 is irrational.

iv. 256−−−√ is not a surd because

= 16, which is not an irrational number.

v. 64−−√3 is not a surd because

= 4, which is not an irrational number.

vi. 227−−√ is a surd because 227 is a positive rational number, 2 is a positive integer greater than 1 and 227−−√ is irrational.

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.

Here, the order of 213−−√ and 513−−√ is same and their radicands are also same.
∴ 52−−√ and 513−−√ are like surds.

Here, the order of 217−−√ and 53–√ is same but their radicands are not.
∴ 68−−√ and 53–√ are unlike surds.

Here, the order of 122–√ and 72–√ is same and their radicands are also same.
∴ 418−−√ and 72–√ are like surds.

Here, the order of 383–√ and 63–√ is same and their radicands are also same.
∴ 1912−−√ and 63–√ are like surds.

v. 522−−√, 733−−√
Here, the order of 522−−√ and 733−−√ is same but their radicands are not.
∴ 522−−√ and 733−−√ are unlike surds.

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.
9+16−−−−−√ ? + 9–√ + 16−−√ (Texbookpg. no. 28)
Solution:

Question 2.
100+36−−−−−−−√ ? 100−−−√ + 36−−√ (Textbook pg. no. 28)
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:

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Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 2.3- Real Numbers

Download PDF: Maharashtra Board Solutions Class 9-Maths (Part 1): Chapter 2.3- Real Numbers PDF

Chapterwise Maharashtra Board Solutions Class 9 Maths :

Part 1

• Chapter 1.1- Sets
• Chapter 1.2- Sets
• Chapter 1.3- Sets
• Chapter 1.4- Sets
• Chapter 2.1- Real Numbers
• Chapter 2.2- Real Numbers
• Chapter 2.3- Real Numbers
• Chapter 2.4- Real Numbers
• Chapter 2.5- Real Numbers
• Chapter 3.1- Polynomials
• Chapter 3.2- Polynomials
• Chapter 3.3- Polynomials
• Chapter 3.4- Polynomials
• Chapter 3.5- Polynomials
• Chapter 3.6- Polynomials
• Chapter 4.1- Ratio and Proportion
• Chapter 4.2- Ratio and Proportion
• Chapter 4.3- Ratio and Proportion
• Chapter 4.4- Ratio and Proportion
• Chapter 4.5- Ratio and Proportion
• Chapter 5.1- Linear Equations in Two Variables
• Chapter 5.2- Linear Equations in Two Variables
• Chapter 6.1- Financial Planning
• Chapter 6.2- Financial Planning
• Chapter 7.1- Statistics
• Chapter 7.2- Statistics
• Chapter 7.3- Statistics
• Chapter 7.4- Statistics
• Chapter 7.5- Statistics