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Answers
Step-by-step explanation:
(i) 729
\sqrt{729}=\sqrt{3\times3\times3\times3\times3\times3}
729
=
3×3×3×3×3×3
= 3 x 3 x 3
= 27
(ii) 400
\sqrt{400}=\sqrt{2\times2\times2\times2\times5\times5}
400
=
2×2×2×2×5×5
= 2 x 2 x 5
= 20
(iv) 4096
\sqrt{4096}=\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2}=2\times2\times2\times2\times2\times2
4096
=
2×2×2×2×2×2×2×2×2×2×2×2
=2×2×2×2×2×2
= 64
(vi) 9604
\sqrt{9604}=\sqrt{2\times2\times7\times7\times7\times7}
9604
=
2×2×7×7×7×7
= 2 x 7 x 7
= 98
U can get all of these on lido learning website
Step-by-step explanation:
c) 4096
Factors of 4096 = 2×2×2×2×2×2×2×2×2×2×2×2
Therefore, square root of 4096 is 64
(d) 7056
Factors of 7056 = 2×2×2×2×3×3×7×7
Therefore , square root of 7056 is 84
(e) 8100
Factors of 8100 = 2×2×3×3×3×3×5×5
Therefore, square root of 8100 is 90
So, basically what we've to do is
first find factors by prime factorization method then pair the identical prime factors and in this way product of one element from each pair will give the square root of the number.
For ex: 9
factors of 9 are 3×3
Therefore, square root of 9 if 3
Now I guess you can do the rest on your own :)
Thanks