Question

2. Find the square roots of the following by prime factorisation : 196 256 On ( 1369 076 o) 1764 ( 54756 ​

Answer 1

Answer:

sqrt{729}=\sqrt{3\times3\times3\times3\times3\times3}

= 3 x 3 x 3

= 27

(ii) 400

\sqrt{400}=\sqrt{2\times2\times2\times2\times5\times5}

= 2 x 2 x 5

= 20

(iii) 1764

\sqrt{1764}=\sqrt{2\times2\times3\times3\times7\times7}

= 2 x 3 x 7

= 42

(iv) 4096

\sqrt{4096}=\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2}=2\times2\times2\times2\times2\times2

= 64

(v) 7744

\sqrt{7744}=\sqrt{2\times2\times2\times2\times2\times2\times11\times11}

= 2\times2\times2\times11

= 88

(vi) 9604

\sqrt{9604}=\sqrt{2\times2\times7\times7\times7\times7}

= 2 x 7 x 7

= 98

(vii) 5929

\sqrt{5929}=\sqrt{7\times7\times11\times11}

= 7 x 11

= 77

(viii) 9216

\sqrt{9216}=\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times3\times3}

= 2 x 2 x 2 x 2 x 2 x 3

= 96

(ix) 529

\sqrt{529}=\sqrt{23\times23}

= 23

(x) 8100

\sqrt{8100}=\sqrt{2\times2\times3\times3\times3\times3\times5\times5}

= 2 x 3 x 3 x 5

= 90

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Answer 2

Step-by-step explanation:

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