S.chand publication New Learning Composite mathematics solution of class 8 Chapter 3 Squares and Square roots,Cube and Cube roots Exercise 3C

 Exercise 3C

Q1 | Ex-3C | Class 8 | Squares and Square roots,Cube and Cube roots | New Learning Composite maths | Schand Solution | myhelper

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Question 1

Find the square root of each of the following numbers by long division method.

(a) 484

Sol :

$\begin{array}{r|l}&22\\\hline 2&484\\&4\\\hline 42&84\\ &84\\ \hline &\times\end{array}$

(b) 841

Sol :

$\begin{array}{r|l}&29\\\hline 2&841\\&4\\\hline 49&441\\ &441\\ \hline &\times\end{array}$

(c) 1849

Sol :

$\begin{array}{r|l}&43\\\hline 4&1849\\&16\\\hline 83&249\\ &249\\ \hline &\times\end{array}$

(d) 2704

Sol :

$\begin{array}{r|l}&52\\\hline 5&2704\\&25\\\hline 102&204\\ &204\\ \hline &\times\end{array}$

(e) 4624

Sol :

$\begin{array}{r|l}&68\\\hline 6&4624\\&36\\\hline 128&1024\\ &1024\\ \hline &\times\end{array}$

(f) 6724

Sol :

$\begin{array}{r|l}&82\\\hline 8&6721\\&64\\\hline 162&321\\ &321\\ \hline &\times\end{array}$

(g) 7569

Sol :

$\begin{array}{r|l}&87\\\hline 8&7569\\&64\\\hline 167&1169\\ &1169\\ \hline &\times\end{array}$

(h) 9801

Sol :

$\begin{array}{r|l}&99\\\hline 9&7801\\&81\\\hline 189&1701\\ &1701\\ \hline &\times\end{array}$

Q2 | Ex-3C | Class 8 | Squares and Square roots,Cube and Cube roots | New Learning Composite maths Schand Solution | myhelper

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Question 2

(a) $7\frac{522}{529}$

Sol :

⇒$\frac{4225}{529}$

$\begin{array}{r|l}&23\\\hline 2&529\\&4\\\hline 43&129\\ &129\\ \hline &\times\end{array}$

$\begin{array}{r|l}&65\\\hline 6&4225\\&36\\\hline 125&625\\ &625\\ \hline &\times\end{array}$

∴$\frac{4225}{529}=\frac{65}{23}=2 \frac{19}{23}$

(b) $8\frac{617}{784}$

Sol :

⇒$\frac{6889}{784}$

$\begin{array}{r|l}&83\\\hline 8&6889\\&64\\\hline 163&489\\ &489\\ \hline &\times\end{array}$

$\begin{array}{r|l}&28\\\hline 2&784\\&4\\\hline 48&384\\ &384\\ \hline &\times\end{array}$

∴$\frac{6889}{784}=\frac{83}{28}=2 \frac{27}{28}$

(c) $2\frac{766}{2209}$

Sol :

⇒$\frac{5184}{2209}$

$\begin{array}{r|l}&72\\\hline 7&5184\\&49\\\hline 142&284\\ &284\\ \hline &\times\end{array}$

$\begin{array}{r|l}&47\\\hline 4&2209\\&16\\\hline 87&609\\ &609\\ \hline &\times\end{array}$

∴$\frac{5184}{2209}=\frac{72}{47}=1 \frac{25}{47}$

Q3 | Ex-3C | Class 8 | Squares and Square roots,Cube and Cube roots | New Learning Composite maths Schand Solution | myhelper

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Question 3

(a) 3.24

Sol :

⇒$\frac{324}{100}$

$\begin{array}{r|l}&10\\\hline 1&100\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&18\\\hline 1&324\\&1\\\hline 28&224\\ &224\\ \hline &\times\end{array}$

∴$\frac{324}{10}=\frac{18}{10}$=1.8

(b) 6.25

Sol :

⇒$\frac{625}{100}$

$\begin{array}{r|l}&10\\\hline 1&100\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&25\\\hline 2&625\\&4\\\hline 45&225\\ &225\\ \hline &\times\end{array}$

∴$\frac{625}{100}=\frac{25}{10}$=2.5

(c) 11.56

Sol :

⇒$\frac{1156}{100}$

$\begin{array}{r|l}&10\\\hline 1&100\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&34\\\hline 3&1156\\&9\\\hline 64&256\\ &256\\ \hline &\times\end{array}$

∴$\frac{1156}{100}=\frac{34}{10}$=3.4

(d) 16.81

Sol :

⇒$\frac{1681}{100}$

$\begin{array}{r|l}&10\\\hline 1&100\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&41\\\hline 4&1681\\&16\\\hline 81&81\\ &81\\ \hline &\times\end{array}$

∴$\frac{1681}{100}=\frac{41}{10}$=4.1

(e) 22.09

Sol :

⇒$\frac{2209}{100}$

$\begin{array}{r|l}&10\\\hline 1&100\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&47\\\hline 4&2209\\&16\\\hline 87&609\\ &609\\ \hline &\times\end{array}$

∴$\frac{2209}{100}=\frac{47}{10}$=4.7

(f) 0.5041

Sol :

⇒$\frac{5041}{1000}$

$\begin{array}{r|l}&100\\\hline 1&10000\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&71\\\hline 7&5041\\&49\\\hline 141&141\\ &141\\ \hline &\times\end{array}$

∴$\frac{5041}{10000}=\frac{71}{100}$=0.71

(g) 0.5625

Sol :

⇒$\frac{5625}{1000}$

$\begin{array}{r|l}&100\\\hline 1&10000\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&75\\\hline 7&5625\\&49\\\hline 145&725\\ &725\\ \hline &\times\end{array}$

∴$\frac{5625}{10000}=\frac{75}{100}$=0.75

(h) 0.9216

Sol :

⇒$\frac{9216}{1000}$

$\begin{array}{r|l}&100\\\hline 1&10000\\&1\\\hline &\times\end{array}$

$\begin{array}{r|l}&46\\\hline 9&9216\\&81\\\hline 186&1116\\ &1116\\ \hline &\times\end{array}$

∴$\frac{9216}{10000}=\frac{96}{100}$=0.96