Question

simplify (5-2root 3) square​

Answer 1

Answer:

$(5 - 2\sqrt{3} ) {}^{2} \\ (5) {}^{2} + ( 2\sqrt{3} ) {}^{2} - 2(5)( 2\sqrt{3} ) \\ 25 + 12 - 20 \sqrt{3} \\ 37 - 20 \sqrt{3}$

Answer 2

$( {5 - 2 \sqrt{3}) }^{2} \\ = ( {5)}^{2} - 2.5.2 \sqrt{3 } \: + ( {2 \sqrt{3} )}^{2} \\ = 25 - 20 \sqrt{3} \: + 12 \\ = 37 - 20 \sqrt{3}$