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Find the square root of the following by the method of prime factorisation(a) 729 (b) 14400 (c) 1764(d) 2025 (c) 2304(0 5776 (g) 2209 (h) 5184 (i) 22201 () 2916 |
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Answer» a) √729 = √3*3*3*3*3*3= 3*3*3 = 27b) √14400 = √2*2*2*2*2*2*3*3*5*5 = 2*2*2*3*5 =120c) √1764 = √2*2*3*3*7*7 = 2*3*7 = 42d)√2025 = √3*3*3*3*5*5 = 3*3*5 = 45e) √2304 = √2*2*2*2*2*2*2*2*3*3 = 2*2*2*2*3 = 48f) √5776 = √2*2*2*2*19*19 = 2*2*19 = 76g) √2209 = √7*7*7*7 = 7*7 = 49h) √5184 = √2*2*2*2*2*2*3*3*3*3 = 2*2*2*3*3 = 72i) √22201 = √149*149 = 149j) √2916 = √2*2*3*3*3*3*3*3 = 2*3*3*3 = 54. |
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