Question

please help me solving in this question​

Answer 1

Step-by-step explanation:

this is the answer. now you can same way solve next question

Answer 2

QUESTION :-

• Find the square root of 114 and 92416 by long division method.

SOLUTION :-

$\pink{ \implies } \red{\bf \sqrt{114} }$

$\begin{array}{c|c} & 10.675 \\ \cline{1-2}1 & 114 \: \: \: \: \: \: \\ + 1 &1 \: \: \: \: \: \: \: \: \: \: \: \\ \cline{1-2}20&14 \: \: \: \: \\ +0&0 \: \: \: \: \\ \cline{1-2}206&1400 \\ +6&1236 \\ \cline{1-2}2167& \: \: \: \: \: \: \: 16400 \\ +7& \: \: \: \: \: \: \: 15169 \\ \cline{1-2}21745& \: \: \: \: \: \: \: \: \: \: 123100 \\ \: \: \: \ & \: \: \: \: \: \: \: \: \: 108725 \\ \cline{1-2}& \: \: \: \: \: \: \: \: \: 13375 \end{array}$

$\implies \sqrt{114} = 10.675 \approx \: 10.68$

$\pink{ \implies} \red{ \sqrt{92416}}$

$\begin{array}{c|c} & 304 \\ \cline{1 - 2} 3 & 92416 \\ + 3 & 9 \\ \cline{1-2} 60 & 24 \\ +0 &0 \\ \cline{1-2} 604 & 2416 \\ & 2416 \\ \cline{1-2} & 0 \end{array}$

$\implies \sqrt{92416} = 304$

ADDITIONAL INFORMATION :-

$\boxed{\begin{minipage}{10 cm} \\ \underline{ \underline{ \bf{some \: notes \: : }}} \\ \\ \tt (i) \: Square of an even number is always even \\ \\ \tt Example : ( 8 )^2 = \tt{ 64 \: ( even )} \\ \\ \tt (ii) \: Squares \: \: of \: \: odd \: \: numbers \: \: are \: \: always \: \: odd \: \: \\ \\ \tt Example : ( 7 )^2 = \tt{ 49 \: ( odd )} \\ \\ \tt (iii) \: \: one \: \: number \: \: ending \: \: with \: \: 2,3,7, 8 \: \: are \: \: not \: \: perfect \: \: squares \\ \\ \tt Example : =32,243 \: ( \: not \: a \: perfect \: square \: ) \end{minipage}}$