Question

11. Efectuați mai întâi simplificările şi apoi calculaţi:

a)

$\sqrt{27 \div 12}$


b)
$\sqrt{18 \div 32}$
C)
$\sqrt{45 \div 20}$


d)
$\sqrt{75 \div 108}$



e)
$\sqrt{96 \div 294}$


f)
$\sqrt{175 \div 567}$
P. S radicalul trb impartit la 2

P.P.S impartitul este de fapt supra
Ex 27/12​

Answer 1

$\displaystyle\bf\\a)~~\sqrt{\frac{~~27^{(3}}{12}}=\sqrt{\frac{9}{4}}=\frac{3}{2}\\\\\\b)~~\sqrt{\frac{~~18^{(2}}{32}}=\sqrt{\frac{9}{16}}=\frac{3}{4}\\\\\\c)~~\sqrt{\frac{~~45^{(5}}{20}}=\sqrt{\frac{9}{4}}=\frac{3}{2}\\\\\\d)~~\sqrt{\frac{~~75^{(3}}{108}}=\sqrt{\frac{25}{36}}=\frac{5}{6}\\\\\\e)~~\sqrt{\frac{~~96^{(6}}{294}}=\sqrt{\frac{16}{49}}=\frac{4}{7}\\\\\\f)~~\sqrt{\frac{~~175^{(7}}{567}}=\sqrt{\frac{25}{81}}=\frac{5}{9}$