New Learning Composite Mathematics Class 8 SK Gupta Anubhuti Gangal Squares and Square Roots, Cubes and Cube Roots Chapter 3B Solution

New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 8 Squares and Square Roots, Cubes and Cube Roots Self Practice 3B Solution

(1) Find the two square roots of the following numbers.

(a) 4

(b) 81

(c) 196

(d) 400

(e) 441

(f) 0.0049

(g) 0.0001

(h) 49/16

(i) 9/4

(j) 0.0289

(2) Evaluate the following.

(a) √36

(b) -√9

(c) √121

(d) -√225

(e) √361

(f) √900

(g) √0.09

(h) √0.0256

(i) √2.25

(j) √4-25/36

(3) Solve

(a) x2 = 1

(b) 12x2 = 108

(c) x2 – 17 = -1

(d) x2 = 16/25

SOLUTION Number 1, 2 & 3:

(4) Find the square root of each of the following numbers by the prime factorisation method.

(a) 484

(b) 2500

(c) 2025

(d) 2916

(e) 2401

(f) 6084

(g) 1-184/441

(h) 0.1936

(i) 0.0576

(j) 40.96

SOLUTION Number 4:

(5) Find the smallest whole number for each of the following numbers by which it should be multiplied so as to get a perfect square number.

(a) 768

(b) 200

(c) 2880

(d) 16807

(e) 1331

(6) Find the smallest whole number for each of the following numbers by which it should be divided so as to get a perfect square number.

(a) 3125

(b) 1800

(c) 1008

(d) 6912

(e) 2925

(7) Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

SOLUTION Number 5, 6 & 7:

(8) Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.

(9) The area of a square plot is 101 1/400 meter square, Find the length of one side of the plot.

(10) Find the value of √162+√38+√121

(11) Given that √3136 = 56, find the value of √31.36 + √0.3136

SOLUTION Number 8, 9, 10, 11:


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