**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) x^{2} = 1

(b) 12x^{2} = 108

(c) x^{2} – 17 = -1

(d) x^{2} = 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:**