4. Find the square roots of the following numbers by the Prime Factorisation Method (i) 729 (ii) 400 (W) 1764 (iv) 4096 (v) 7744 (Xi) 9604 (viii) 9216 (ix) 529 (x) 8100 (ii) 5929
plz tell me how to solve it
my number 7340973672
Answers
Answer:
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Answer:
Q4) Find the square roots of the following numbers by the Prime Factorization method:
(i) 729
(ii) 400
(iii) 1764
(iv) 4096
(v) 7744
(vi) 9604
(vii) 5929
(viii) 9216
(ix) 529
(x) 8100
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Solution:
(i) 729
\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
Step-by-step explanation:
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