Math, asked by pranithapathapati, 5 months ago

1.
Find the square roots of the following numbers by Prime factorization method.
(i) 441
(ii) 784
(iii) 4096
(iv) 7056

Answers

Answered by adityakumar37790
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 ishanbhatt2000
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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