Worksheet 3
Find the square root of each of the following by prime factorisation.
(i)
225
40000
529
(iv)
441
(v) 7744
(vi)
8281
(vii)
4096
28900
(viii)
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Answer:
1) √225 = √(3×3×5×5) = 3×5 =15
2) √441 = √(3×3×7×7) = 3×7 =21
3) √529 = √( 23×23) =23
4) √40000 = √( 2×2×2×2×2×2×5×5×5×5) = 2×2×2×5×5 = 200
5) √7744 = √(2×2×2×2×2×2×11×11) = 2×2×2×11 =88
6)√8281 = √(91×91) = 91
7) √4096= √( 2×2×2×2×2×2×2×2×2×2×2×2) = 2×2×2×2×2×2 = 64
8) 28900 = √(2×2×5×5×17×17) = 2×5×17 =170
Explanation:
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