Find tn of 1024 square root and prime factorization method and 1024
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Answered by
53
Q. Find √(1024) by Prime Factorisation method »
2 | 1024
2 | 512
2 | 256
2 | 128
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
1 | 1
Prime Factorisation of 1024
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2¹⁰
∴ √(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)
= ( 2 × 2 × 2 × 2 × 2 )
= 2⁵
= 32
Hence, the square root of 1024 is 32.
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2 | 1024
2 | 512
2 | 256
2 | 128
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
1 | 1
Prime Factorisation of 1024
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2¹⁰
∴ √(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)
= ( 2 × 2 × 2 × 2 × 2 )
= 2⁵
= 32
Hence, the square root of 1024 is 32.
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Answered by
30
As by prime factorisation we get :
1024= 2×2×2×2×2×2×2×2×2×2
Taking Square roots both side ,
We get =
√1024 = 2^5 = 32 .
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