Find each of the following by using
prime factorisation.
(a) 1764
(b) 576
(c) 33375
(d) 3/1728
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8th
Maths
Squares and Square Roots
Square Roots
Find the square root of the...
MATHS
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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ANSWER
(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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