Question

((√7+√2)(2√2)-3√7) simplify​

Answer 1

simplify :-

${\sf{:\implies( ( \sqrt{7} + \sqrt{2} ) (2 \sqrt{2} ) - 3 \sqrt{7} )}}$

${\sf{:\implies( 2 \sqrt{7} + 2 \sqrt{2} ) ( \sqrt{2} ) - 3 \sqrt{7} )}}$

${\sf{:\implies 2 \sqrt{7} \sqrt{2} + 2( \sqrt{2} )^{2} - 3 \sqrt{7} }}$

${\sf{:\implies 2 \sqrt{14} + 2( \sqrt{2} )^{2} - 3 \sqrt{7} }}$

${\sf{:\implies 2 \sqrt{14} + 2 \times {2} - 3 \sqrt{7} }}$

${\sf{:\implies 2 \sqrt{14} + 4 - 3 \sqrt{7} }}$

${\sf{:\implies 2 \sqrt{14} + 4 - 3 \sqrt{7} ≈ \green{ 3.5460684 } }}$

:)