Question

Numarul a= (-√12 ) · (√216 ÷ 3√3 + √384 ÷ √48 ) este cuprins intre numerele intregi consecutive :
A. 12 si9 13
B. -20 si -19
C. -17 si -16
D. -15 si -16

Answer 1

$a = ( - \sqrt{12} )( \sqrt{216} \div 3 \sqrt{3} + \sqrt{384} \div \sqrt{48} )$

$a = ( - 2\sqrt{3} )(6 \sqrt{6} \div 3 \sqrt{3} + \sqrt{384 \div 48} )$

$a = ( - 2 \sqrt{3} )(2 \sqrt{2} + 2 \sqrt{2} )$

$a = ( - 2 \sqrt{3} ) \times 4 \sqrt{2}$

$a = - 8 \sqrt{6}$

$a = - 19.59.....$

$= > B) - 20 \: si \: - 19$