Maharashtra Board 9th Class Maths Part 1 Practice Set 2.3 Solutions Chapter 2 Real Numbers

Maharashtra Board 9th Class Maths Part 1 Practice Set 2.3 Solutions Chapter 2 Real Numbers

Practice Set 2.3 Algebra 9th Std Maths Part 1 Answers Chapter 2 Real Numbers

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

ii. 4√16 is not a surd because

= 2, which is not an irrational number.

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

iv. √256 is not a surd because

= 16, which is not an irrational number.

v. 3√64 is not a surd because

= 4, which is not an irrational number.

vi. √22/7 is a surd because 22/7 is a positive rational number, 2 is a positive integer greater than 1 and √22/7 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 2√13 and 5√13 is same and their radicands are also same.
∴ √52 and 5√13 are like surds.

Here, the order of 2√17 and 5√3 is same but their radicands are not.
∴ √68 and 5√3 are unlike surds.

Here, the order of 12√2 and 7√2 is same and their radicands are also same.
∴ 4√18 and 7√2 are like surds.

Here, the order of 38√3 and 6√3 is same and their radicands are also same.
∴ 19√12 and 6√3 are like surds.

v. 5√22, 7√33
Here, the order of 5√22 and 7√33 is same but their radicands are not.
∴ 5√22 and 7√33 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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