(ii) 1296
Solution:-
\[ \begin{array}{r|l}\ & 36\quad \\\hline 3 & 1296 \quad \\& 09\quad \\\hline66 & \underline{396} \quad \\& 396\\\hline\\ & 0\\\end{array} \]
(iii) 4096
Solution:-
\[ \begin{array}{r|l}\ & 64\quad \\\hline 6 & 4096 \quad \\& 36\quad \\\hline124 & \underline{496} \quad \\& 496\\\hline\\ & 0\\\end{array} \]
(iv) 15129
Solution:-
\[ \begin{array}{r|l}\ & 123\quad \\\hline 1 & 4096 \quad \\& 36\quad \\\hline22 & \underline{051} \quad \\& 044\\\hline243 & \underline{729} \quad \\& 729\\\hline\\ & 0\\\end{array} \]
(v) 11449
Solution:-
\[ \begin{array}{r|l}\ & 107\quad \\\hline 1 & 11449 \quad \\& 1\quad \\\hline207 & \underline{11449} \quad \\& 11449\\\hline\\ & 0\\\end{array} \]
(vi) 361201
Solution:-
\[ \begin{array}{r|l}\ & 601\quad \\\hline 6 & 361201 \quad \\& 36\quad \\\hline1201 & \underline{1201} \quad \\& 1201\\\hline\\ & 0\\\end{array} \]
(vii) 54756
Solution:-
\[ \begin{array}{r|l}\ & 234\quad \\\hline 2 & 54756 \quad \\& 4\quad \\\hline43 & \underline{147} \quad \\& 129\\\hline464 & \underline{1856} \quad \\& 1856\\\hline\\ & 0\\\end{array} \]
(viii) 2271049
Solution:-
\[ \begin{array}{r|l}\ & 1507\quad \\\hline 1 & 2271049 \quad \\& 1\quad \\\hline25 & \underline{127} \quad \\& 125\\\hline3007 & \underline{21049} \quad \\& 21049\\\hline\\ & 0\\\end{array} \]
3. বৰ্গমূল উলিওৱা—–
(i) 7.29
Solution:-
Solution:-
\[ \begin{array}{r|l}\ & 2.2360\quad \\\hline 2 & 5.00000000 \quad \\& 4\quad \\\hline42 & \underline{100} \quad \\& 084\\\hline443 & \underline{1600} \quad \\& 1329\\\hline4466 & \underline{27100} \quad \\& 26796\\\hline44720 & \underline{304000} \quad \\& \\\hline\\ & 0\\\end{array} \]
(ii) 1.7 [3]
Solution:-
\[ \begin{array}{r|l}\ & 1.304\quad \\\hline 1 & 1.70000000 \quad \\& 1\quad \\\hline239 & \underline{070} \quad \\& 069\\\hline2604& \underline{10000} \quad \\& 09416\\\hline\\ & \\\end{array} \]
(iii) 5.652 [3]
Solution:-
\[ \begin{array}{r|l}\ & 2.378\quad \\\hline 2 & 5.65200000 \quad \\& 4\quad \\\hline43 & \underline{165} \quad \\& 129\\\hline467& \underline{3620} \quad \\& 3269\\\hline4747& \underline{36100} \quad \\& 33229\\\hline\\ & \\\end{array} \]
(iv) 1.092 [5]
Solution:-
\[ \begin{array}{r|l}\ & 3.901\quad \\\hline 3 & 13.0000 \quad \\& 9\quad \\\hline39 & \underline{400} \quad \\& 351\\\hline4801& \underline{4900} \quad \\& 4801\\\hline& \underline{0099} \quad \\&\\&\ {}\\\end{array} \]
(vi) 22
Solution:-
Solution:-
\[ \begin{array}{r|l}\ & 4.6904\quad \\\hline 4 & 22.000000 \quad \\& 16\quad \\\hline86 & \underline{600} \quad \\& 51`6\\\hline929 & \underline{8400} \quad \\& 8361\\\hline93804 & \underline{390000} \quad \\& 375216\\\hline & \underline{014784} \quad \\& \\\ & \\\end{array} \]
(viii) 300 [7]
Solution:-
\[ \begin{array}{r|l}\ & 17.32050807\quad \\\hline 1 & 300.0000000000000000 \quad \\& 1\quad \\\hline27 & \underline{200} \quad \\& 189\\\hline343 & \underline{1100} \quad \\& 1029\\\hline3462 & \underline{7100} \quad \\& 6924\\\hline 346405& \underline{1760000} \quad \\& 1732025\\\hline 34641008& \underline{279750000} \quad \\& 263048064\\\hline 3464101607& \underline{167019360000} \quad \\&024248711249 \\\ & \\\end{array} \]
5. কি সৰু সংখ্যা বিয়োগ কৰিলে লতৰ সংখ্যাটোৰ ওচৰৰ বৰ্গ সংখ্যা পোৱা যাব । বৰ্গমূল উলিওৱা ——
(i) 825
Solution:-
\[ \begin{array}{r|l}\ & 28\quad \\\hline 2 & 825 \quad \\& 4\quad \\\hline48 & \underline{425} \quad \\& 384\\\hline\\ & 041\\\end{array} \]
এতেকে বিয়োগকৰিবলগীয়া সংখ্যাটো হৈছে 41
∴ \(\sqrt{784}\) = 28
(ii) 1980
Solution:-
\[ \begin{array}{r|l}\ & 44\quad \\\hline 4 & 1989 \quad \\& 4\quad \\\hline84 & \underline{389} \quad \\& 336\\\hline\\ & 053\\\end{array} \]
এতেকে বিয়োগকৰিবলগীয়া সংখ্যাটো হৈছে 53
∴ \(\sqrt{1936}\) = 44
(iii) 5607
Solution:-
\[ \begin{array}{r|l}\ & 75\quad \\\hline 7 & 5607\quad \\& 49\quad \\\hline144 & \underline{707} \quad \\& 576\\\hline\\ & 131`\\\end{array} \]
এতেকে বিয়োগকৰিবলগীয়া সংখ্যাটো হৈছে 131
∴ \(\sqrt{5476}\) = 74
Solution:-
\[ \begin{array}{r|l}\ & 216\quad \\\hline 2 & 46666\quad \\& 4\quad \\\hline41 & \underline{66} \quad \\& 41\\\hline426 & \underline{2566} \quad \\& 2556\\\hline\\ & 10`\\\end{array} \]
এতেকে বিয়োগকৰিবলগীয়া সংখ্যাটো হৈছে 10
∴ \(\sqrt{4656}\) = 216
6. আটাইতকৈ কি সৰু সংখ্যা যোগ কৰিলে তলৰ সংখ্যা ওচৰত একোটা বৰ্গ সংখ্যা পোৱা যাব ? বৰ্গমূল উলিওৱা।
(i) 440
Solution:- 440 ৰ লগত 1 যোগ কৰিলে বৰ্গ সংখ্যা পোৱা যায় ।
∴ \(\sqrt{441}\) = 21
(ii) 1220
Solution:- 1220 ৰ লগত 5 যোগ কৰিলে বৰ্গ সংখ্যা পোৱা যায় ।
∴ \(\sqrt{1225}\) = 35
(iii) 8270
Solution:- 8270 ৰ লগত 11 যোগ কৰিলে বৰ্গ সংখ্যা পোৱা যায় ।
∴ \(\sqrt{8281}\) = 91
(iv) 40400
Solution:- 40400 ৰ লগত 1 যোগ কৰিলে বৰ্গ সংখ্যা পোৱা যায় ।
∴ \(\sqrt{40401}\) = 201