Question

Упрости выражение:(√10-5√3)²

Answer 1

=√10*√10-2*√10*5√3+5√3*5√3= 10-10√30+75= 85-10√30

Answer 2

$( \sqrt{10} - 5 \sqrt{3} ) {}^{2} \\ (a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2} \\ ( \sqrt{10) {}^{2} } - (2 \times \sqrt{10 \times } 5 \sqrt{3} ) + (5 \sqrt{3} ) {}^{2} \\ 10 - 10 \sqrt{30} + 75 \\ 85 - 10 \sqrt{30}$