RBSE Solutions for Class 7 Maths Chapter 3 Square and Square Root In Text Exercise

RBSE Solutions for Class 7 Maths Chapter 3 Square and Square Root In Text Exercise is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 3 Square and Square Root In Text Exercise.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 7
Subject	Maths
Chapter	Chapter 3
Chapter Name	Square and Square Root
Exercise	In Text Exercise
Number of Questions	12
Category	RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 3 Square and Square Root In Text Exercise

(Page 36)
Question
Think of following numbers and (RBSESolutions.com) their squares and fill in the blanks :

Solution:

(Page 37)
Question
Square numbers of the numbers (RBSESolutions.com) from 1 to 20 are given in the table given below.

(1) Write the digits on ones place in square from given table in the form of set A :
A = {0, 1, 4, ………….. }
(2) Write the numbers (RBSESolutions.com) between 0 and 9 in B which are not in A :
Solution:
(i) A = {0, 1, 4, 5, 6, 9},
(ii) B = {2, 3, 7, 8}

(Page 38)
Question
In figure, squares are drawn starting from (RBSESolutions.com) the north- west corner. Look at the squares carefully and write the number of black circles :


Solution:

(Page 39)
Question
Look at the squares of 1, 11, 111,…

Solution:
11111² = 123454321
111111² = 12345654321

Question
Write two adjacent number, like 4 and 5 Square (RBSESolutions.com) them as 4² = 16 and 5² = 25 Difference of squares = 25 – 16 = 9 and Sum of the numbers 5 = 4 + 5 = 9 Find such type of more consecutive numbers.
Solution:

(Page 40)
Question
The method in which we add first five (RBSESolutions.com) odd numbers and obtain the square of 5, we subtract odd numbers from 25 and obtain the square root of 25. Let us see 25 – 1 = 24
24 – 3 = 21
21 – 5 = 16
16 – 7 = 9
9 – 9 = 0
By successive subtraction of first five odd numbers from 25 we get remainder 0. This means square root of 25 is 5. i,e., \(\sqrt { 25 }\) = 5. You also try to find the square roots of some perfect square numbers using this process.
Solution:
(i) Let perfect square number is 16 here (RBSESolutions.com) we subtract the odd numbers 4 time
∴ Square root of 16 = 4
or \(\sqrt { 16 }\) = 4.

(ii) Let perfect square number is 9. Here (RBSESolutions.com) we subtract the odd number 3 times.
∴ Square root of 9 = 3 or \(\sqrt { 9 }\) = 3

(iii) Let a larger number be 36.
Here we have to subtract the odd numbers 6 time.
∴ Square of 36 = 6 or
\(\sqrt { 36 }\) = 6

(Page 47)
Question
Number of digits in (RBSESolutions.com) square root consider following table

(i) How many digits are there in the square of one digit number? 1 or 2
(ii) How many digits are there in the square of 2 digits number? 3 or 4.
(iii) How many digits are there in the square of 3 digits number? ………….
Solution:
It is clear (RBSESolutions.com) from the table that
(i) A one digit number may between 1 and 9, whose square are 1 and 81.
so the number of digits may be either 1 or 2.
(ii) Two digits numbers may be between 1 and 99 whose squares are 100 and 9801. So the number of digits may be 3 or 4.
(iii) Similarly 3 digits numbers are between 100 and 999 whose square 10000 and 998001. Therefore square of any three digit number may be in 5 or 6 digits.

Do and Learn

(Page 37)
Question 1
Write the perfect (RBSESolutions.com) square number lying between :
(i) 20 and 30
(ii) 40 and 50
Solution:
(i) 25
(ii) 49

(Page 37)
Question 1
Tell on the basis of digits at ones place, (RBSESolutions.com) which numbers are not perfect square?
(i) 2304,
(ii) 402,
(iii) 3003,
(iv) 100,
(v) 1008
Solution:
If unit place digit of a number is as 2, 3 7 or 8 then number can not be a perfect square.
So (ii) 402 (iii) 3003 and (v) 1008 are not perfect square.

Question 2
Tell three numbers for which you can say (RBSESolutions.com) with confidence that they cannot be perfect square.
(i) ……….
(ii) ……….
(iii) ……….
Solution:
(i) 101
(ii) 68
(iii) 3007

(Page 40)
Question
From the following table, what will be (RBSESolutions.com) the square roots of the following numbers :
(i) 49
(ii) 64
(iii) 100

Solution:
(i) 7,
(ii) 8,
(iii) 10

(Page 47)
Question
How many digits will be in square (RBSESolutions.com) root of following numbers?
(i) 1369
(ii) 15376
(iii) 6031936
Solution:
(i) 2 digit
(ii) 3 digit
(iii) 4 digit
Note : The following tables show (RBSESolutions.com) how to solve such type of questions :

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