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

Algebra 9th Class Maths Part 1 Answers 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. 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: