Question

find the value of 2 root 3 + 8 root 18​

Answer 1

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$\mathtt{\huge{\underline{\red{Answer\: :}}}}$

$\: \: \bf{ \implies 2 \sqrt{3} + 8 \sqrt{18} }$

$\: \: \bf{ \implies \: 2 \times \sqrt{3} + 8 \times \sqrt{9 \times 2} }$

$\: \: \bf{ \implies 2 \sqrt{3} + 8 \times 3 \sqrt{2} }$

$\: \: \bf{ \implies \: 2 \sqrt{3} + 24 \sqrt{2} }$

$\: \: \bf{ \implies2 \times 1.732 + 24 \times 1.414}$

$\: \: \: \bf{ \implies \: 3.464 + 33.936}$

$\: \: \bf{ \implies \: 37.4}$

Answer 2

$\:\;\:2 \sqrt{3} + 8 \sqrt{18} \\ \\ = > 2 \sqrt{3} + 8 \sqrt{3 \times 3 \times 2} \\ \\ = > 2 \sqrt{3} + 8 \sqrt{(3)^{2} \times 2 } \\ \\ = > 2 \sqrt{3} +( 8 \times 3) \sqrt{2} \\ \\ = > \green{\boxed{ 2 \sqrt{3} + 24 \sqrt{2} }}$