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AP Board Class 8 Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Book Answers

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Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Textbooks Solutions PDF

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Andhra Pradesh State Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	8th
Subject	Maths
Chapters	Maths Chapter 6 Square Roots and Cube Roots Ex 6.1
Provider	Hsslive

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AP Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
What will be the units digit of the square of the following numbers?
(i) 39
(ii) 297
(iii) 5125
(iv) 7286
(v) 8742
Solution:

Number	Square of the units digIt	Units digit of a squared number
i) 39	9² = 9 x 9 = 81	1
ii) 297	7² = 7 x 7 = 49	9
Iii) 5125	5² = 5 x 5 = 25	5
iv) 7286	6² = 6 x 6 = 36	6
v) 8742	2² = 2 x 2 = 4	4

Question 2.
Which of the following numbers are perfect squares?
(i) 121
(ii) 136
(iii) 256
(iv) 321
(v) 600
Solution:

Number	Prime factorizatlon	Perfect square numbers Yes/No
i) 121	121 = 11 x 11 = 11²	yes
ii) 136	136 = 8 x 17 = 2 x 2 x 2 x 17	No
iii) 256	256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2⁸= (2⁴)²	yes
iv) 321	321 = 3 x 107	No
v) 600	600 = 120 x 5 = 12 x 10 x 5 = 2 x 2 x 2 x 3 x 5 x 5	No

Question 3.
The following numbers are not perfect squares. Give reasons?
(i) 257
(ii) 4592
(iii) 2433
(iv) 5050
(v) 6098
Solution:
i) 257 → The units digit of the number is 7. So it is not a perfect square number.
ii) 4592 → The units digit of the number is 2. So it is not a perfect square number.
iii) 2433 → The units digit of the number is 3. So, it is not a perfect square number.
Iv) 5050 → The last two digits of the number are not two zero’s. So, it is not a perfect square number.
v) 6098 → The units digit of the number is 8. So It is not a perfect square number

Question 4.
Find whether the square of the following numbers are even or odd?
(i) 431
(ii) 2826
(iii) 8204
(iv) 17779
(v) 99998
Solution:

Number	Units digit of square of a number	Even / Odd
(i) 431	1² = 1	1 , odd
(ii) 2826	6²= 36	6, odd
(iii) 8204	4² = 16	6 , even
(iv)17779	9²= 81	1 , odd
(v) 99998	8²= 64	4 , even

Question 5.
How many numbers lie between the square of the following numbers
(i) 25; 26
(ii) 56; 57
(iii) 107;108
Solution:
The numbers lie between the square of the numbers are:
1) 25,26 → 2 x 25=50
ii) 56, 57 → 2 x 56 = 112
iii) 107, 108 → 2 x 107 = 214

Question 6.
Without adding, find the sum of the following numbers
(i) 1 + 3 + 5 + 7 + 9 =
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 =
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 =
Solution:
(i) 1 + 3 + 5 + 7 + 9 = (5)² = 5 x 5 = 25
[∵ Sum of ‘n’ consecutive odd number = n²]
(ii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 9² = 9 x 9 = 81
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = 13² = 13 x 13 = 169

AP Board Textbook Solutions PDF for Class 8th Maths

Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.1 Textbooks for Exam Preparations

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