Question

Solve this question with solutions..​

Answer 1

Answer:

Solution :-

$\mapsto \sf\bold{\dfrac{3.7 \times 3.7 + 2.3 \times 2.3 + 2 \times 3.7 \times 2.3}{4.6 \times 4.6 - 3.4 \times 3.4}}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{37}{10}\bigg) \times \bigg(\dfrac{37}{10}\bigg) + \bigg(\dfrac{23}{10}\bigg) \times \bigg(\dfrac{23}{10}\bigg) + 2 \times \bigg(\dfrac{37}{10}\bigg) \times \bigg(\dfrac{23}{10}\bigg)}{\bigg(\dfrac{46}{10}\bigg) \times \bigg(\dfrac{46}{10}\bigg) - \bigg(\dfrac{34}{10}\bigg) \times \bigg(\dfrac{34}{10}\bigg)}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{1369}{100}\bigg) + \bigg(\dfrac{529}{100}\bigg) + 2 \times \bigg(\dfrac{851}{100}\bigg)}{\bigg(\dfrac{2116}{100}\bigg) - \bigg(\dfrac{1156}{100}\bigg)}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{1369 + 529}{100}\bigg) + \bigg(\dfrac{1702}{100}\bigg)}{\bigg(\dfrac{2116 - 1156}{100}\bigg)}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{1898}{100}\bigg) + \bigg(\dfrac{1702}{100}\bigg)}{\bigg(\dfrac{960}{100}\bigg)}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{1898 + 1702}{100}\bigg)}{\bigg(\dfrac{960}{100}\bigg)}$

$\longrightarrow \sf \dfrac{\bigg(\dfrac{3600}{100}\bigg)}{\bigg(\dfrac{960}{100}\bigg)}$

$\longrightarrow \sf \dfrac{3600}{100} \times \dfrac{100}{960}$

$\longrightarrow \sf \dfrac{360\cancel{000}}{96\cancel{000}}$

$\longrightarrow \sf \dfrac{360}{96}$

$\longrightarrow \sf\bold{\red{3.75}}$

${\small{\bold{\underline{\therefore\: The\: value\: of\: \dfrac{3.7 \times 3.7 + 2.3 \times 2.3 + 2 \times 3.7 \times 2.3}{4.6 \times 4.6 - 3.4 \times 3.4}\: is\: 3.75\: .}}}}$

Answer 2

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Q U E S T I O N :—

$\:$

$➝\color{olive}\dfrac{3.7 \times 3.7 + 2.3 \times 2.3 + 2 \times 3.7 \times 2.3}{4.6 \times 4.6 - 3.4 \times 3.4}$

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A N S W E R :—

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$\qquad \red \bull \: \: {3.75}$

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~Here, firstly we have to convert the decimal numbers into Integers by removing the point. Then follow the BODMAS rule and work out the answer.

B : Bracket

O : of

D : Division

M : Multiplication

A : Addition

S : Subtraction

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S O L U T I O N :—

$\:$

$➝ \dfrac{3.7 \times 3.7 + 2.3 \times 2.3 + 2 \times 3.7 \times 2.3}{4.6 \times 4.6 - 3.4 \times 3.4}$

$\:$

$➝ \dfrac{ (\frac{3.7}{10}) \times (\frac{3.7}{10} ) + (\frac{2.3}{10}) \times ( \frac{2.3}{10} ) + 2 \times (\frac{3.7}{10} ) \times ( \frac{2.3}{10} )}{( \frac{4.6}{10}) \times ( \frac{4.6}{10} ) - ( \frac{3.4}{10} ) \times (\frac{3.4}{10} )}$

$\:$

$➝ \dfrac{ (\frac{1364}{100} ) + (\frac{529}{100}) + 2 \times \frac{851}{100} }{ \frac{2116}{100} - \frac{1156}{100} }$

$\:$

$➝ \dfrac{ (\frac{1369 + 529}{100}) + (\frac{1702}{100}) }{ (\frac{2116 - 1156}{100}) }$

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$➝ \dfrac{ (\frac{1898}{100}) + (\frac{1702}{100}) }{ \frac{960}{100} }$

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$➝ \dfrac{ (\frac{1898 + 1702}{100}) }{ \frac{961}{100} }$

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$➝ \dfrac{ \frac{3600}{100} }{ \frac{960}{100} }$

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$➝ \dfrac{3600}{100} \times \frac{100}{960}$

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$➝ \dfrac{360 \: \cancel{000}}{96 \cancel{000} }$

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$➝ \dfrac{360}{96}$

$\:$

$➝ \color{lightpink}3.75$

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