Find the square root of the following by prime factorisation method
and Long division method. Do correct i will give you brilliant
a) 5625
b) 4096
c) 1764
d)7744
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Answer:
Find the square root of the following number by prime factorisation method
(i) 729
(ii) 400
(iii) 1764
(iv) 4096
(v) 7744
(vi) 9604
(vii) 5929
(viii) 9216
(ix) 529
(x) 8100
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Step-by-step explanation:
(i) 729=3×3×3×3×3×3= 3
2
×3
2
×3
2
729
=27
(ii) 400= 2
2
×2
2
×5
2
400
=20
(iii) 1764= 2
2
×2
2
×7
2
1764
=42
(iv) 4096= 2
2
×2
2
×2
2
×2
2
×2
2
×2
2
4096
=64
(v) 7744= 2
2
×2
2
×2
2
×11
2
7744
=88
(vi) 9604= 2
2
×7
2
×7
2
9604
=98
(vii) 5929= 11
2
×7
2
5929
=77
(viii) 9216= 96
2
9216
=96
(
ix) 529=23×23
529
=23
(x) 8100=90
2
8100
=90.
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Answered by
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Step-by-step explanation:
(a)5929= 1112 ×7 2 5929 =77
(b)4096= 2 2×2 2 ×2 2 ×2 2 ×2 2 ×2 24096 =64
(c) 1764= 2 2 ×2
2×721764 =42
(d)7744= 2 2 ×2 2 ×2 2 ×11 27744 =88
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