AP Board Class 8 Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

AP Board Class 8 Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Book Answers

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Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbooks Solutions PDF

Andhra Pradesh State Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbooks. These Andhra Pradesh State Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.

Andhra Pradesh State Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 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 6.4
Provider	Hsslive

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AP Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 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 6.4 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Find the cubes of the following numbers
(1) 8
(ii) 16
(iii) 21
(iv) 30
Solution:

Number	Cube Of a Number
i) 8	8³ = 8 × 8 × 8 = 512
ii) 16	16³= 16 × 16 × 16 = 4096
iii) 21	21³ = 21 × 21 × 21 = 9261
iv) 30	30³ = 30 × 30 × 30 = 27000

Question 2.
Test whether the given numbers are perfect cubes or not.
(i) 243
(ii) 516
(iii) 729
(iv) 8000
(v)2700
Solution:

Number	Cube Of a Number	Yes / No
i) 243	3 × 3 × 3 × 3 × 3 = 3⁵	No
ii) 516	2 × 2 × 3 × 43	No
iii) 729	9 × 9 × 9 = 9³	Yes
iv) 8000	20 × 20 × 20 = (20)³	Yes
v) 2700	(30) × (30) × 3	No

Question 3.
Find the smallest number by which 8788 must be multiplied to obtain a perfect cube?
Solution:
The prime factorisation of 8788
= (2 × 2) × (13 × 13 × 13)

∴ From the above product 2 ¡s left in the triplet.
∴ 2 should be multiplied with 8788 we will get a perfect cube number.

Question 4.
What smallest number should 7803 be multiplied with so that the product becomes a perfect cube?
Solution:
The prime factorisation of 7803
= (3 × 3 × 3) × (17 × 17)

∴ From the above product 17 is left in
the triplet.
∴ 17 should be multiplied to 7803 then we will get a perfect cube number.

Question 5.
Find the smallest number by which 8640 must be divided so that the quotient is a perfect cube’?
Solution:
The prime factorisation of 8640
= (2 × 2 × 2) × (2 × 2 × 2) × 5 × (3 × 3 × 3)
= (2)³ × (2)³ × 5 × (3)³

Question 6.
Ravi made a cuboid of plasticine ofdimensions 12cm, 8cm and 3cm. How many minimum number of such cuboids will be needed to form a cube’?
Solution:
The volume of a plasticine cuboid
= l × b × h
= 12 × 8 × 3
= 288 cm³
If the minimum no. of such cuboids will be needed to form a cube then its volume be less than 288 i.e., 216 cm³
∴ s³ = 216
s = 216‾‾‾‾√3=6×6×6‾‾‾‾‾‾‾‾‾√3=63‾‾√3 = 6
∴ The side of the cube 6 cm

Question 7.
Find the smallest prime number dividing the sum 3¹¹ +5¹³.
Solution:
The units digit in 3¹¹ is 7

∴ The units digit in 3¹¹ is 7
The units digit in 5¹³ is 5
7 + 5 = 12 is divided by a smallest prime number 2.
∴ The smallest prime number that divide the sum 311 + 513 = 2

AP Board Textbook Solutions PDF for Class 8th Maths

Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 exam preparation. The AP Board STD 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 6 Square Roots and Cube Roots Ex 6.4 Books State Board syllabus with maximum efficiency.

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