1.
Find the square roots of the following numbers by Prime factorization method.
(i) 441
(ii) 784
(iii) 4096
(iv) 7056
Answers
Answered by
3
ANSWER
(a) 441
prime factorization:
441=3×3×7×7
441
=
3×3×7×7
=3×7
=21
(b) 784=2×2×2×2×7×7
784
=
2×2×2×2×7×7
784
=2×2×7
=28
(c) 4096=2×2×2×2×2×2×2×2×2×2×2×2
4096
=
2×2×2×2×2×2×2×2×2×2×2×2
4096
=2×2×2×2×2×2
=2×2
=64
(D) 7056=2×2×2×2×3×3×7×7
7056
=
2×2×2×2×3×3×7×7
=2×2×3×7
=4×21
=84.
Step-by-step explanation:
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Answered by
1
Answers :
a) 21
b) 28
c) 64
d) 84
Explanation :
a) 441
prime factorization:
441 =3×3×7×7
441 = √3×3×7×7
=3×7
=21
b) 784
784=2×2×2×2×7×7
784 = √2×2×2×2×7×7
=2×2×7
=28
c) 4096
4096=2×2×2×2×2×2×2×2×2×2×2×2
4096 =√ 2×2×2×2×2×2×2×2×2×2×2×2
4096 = 2×2×2×2×2×2
=2×2
=64
d) 7056
7056=2×2×2×2×3×3×7×7
7056 = √2×2×2×2×3×3×7×7
=2×2×3×7
=4×21
=84.
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