Math, asked by yilobeni, 1 month ago

please can you find this all answers its really urgent Do not spam I'll mark you brainlist

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Answered by Anonymous
4

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

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Answered by Anonymous
78

Step-by-step explanation:

c) 4096

Factors of 4096 = 2×2×2×2×2×2×2×2×2×2×2×2

\sqrt{4096}  = 2 \times 2 \times 2 \times 2 \times 2 \times 2

Therefore, square root of 4096 is 64

(d) 7056

Factors of 7056 = 2×2×2×2×3×3×7×7

 \sqrt{7056}  = 2 \times 2 \times 3 \times 7

Therefore , square root of 7056 is 84

(e) 8100

Factors of 8100 = 2×2×3×3×3×3×5×5

\sqrt{8100}  = 2 \times 3 \times 3 \times 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

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