Chapter 2 Real Numbers Practice Set 2.3

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:

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Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 5
= 4, which is not an irrational number.

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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.

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 7
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Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 8
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Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 9
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Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 10
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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:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 13

Question 5.
Compare the following pair of surds.


Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 16
Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 17

Question 6.
Simplify.

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 19

Question 7.
Multiply and write the answer in the simplest form.

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 21

Question 8.
Divide and write form.

Solution:
Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 23

Question 9.
Rationalize the denominator.

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 25
Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 26

Question 1.

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 27

Question 2.

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 28

Question 3.
Follow the arrows and complete the chart by doing the operations given. (Textbook pg. no. 34)

Solution:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 30

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:

Maharashtra Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.3 32