Question

7 + 4 root 3 ka whole root

Answer 1

$<b>Heya !$

Here's your answer !!

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$\bf \: 7 \: + \: 4 \sqrt{3} \\ \\ = > \bf \: \sqrt{( \: 7 \: + \: 4 \sqrt{3} \: )} \\ \\ = > \bf \: \sqrt{ \: 4 \: + \: 3 \: + \: 4 \sqrt{3} } \\ \\ = > \bf\: \sqrt{ \: {( \: 2 \: )}^{2} \: + \: { ( \: \sqrt{3} \: ) }^{2} \: + \: 2 \: \times \: 2 \: \times \: \sqrt{3} }$


We know ,

( a + b )² = a² + b² + 2ab

Therefore ,

$= > \bf \: \sqrt{ {( \: 2 \: + \: \sqrt{3} \: )}^{2} } \\ \\ = > \bf \: 2 \: + \: \sqrt{3} \: \: \: \: \: \: \: \: \: \: ans$


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Thanks !!!