Question

18 Efectuați calculele:
18
√25
a
C
+
128
49
+
32
225
288
196
50
9
162
441
+
242
784u


B D JOS VA ROG

Answer 1

Explicație pas cu pas:

b)

$\sqrt{ \dfrac{845}{576} } - \sqrt{ \dfrac{405 ^{(9} }{36} } + \sqrt{ \dfrac{45}{4} } = \sqrt{ \dfrac{5 \cdot {13}^{2} }{ {24}^{2} } } - \sqrt{ \dfrac{45}{4} } + \sqrt{ \dfrac{45}{4} } = \dfrac{13 \sqrt{5} }{24}$

d)

$\sqrt{ \dfrac{96}{196} } - \sqrt{ \dfrac{150}{49} } + \sqrt{ \dfrac{864}{441} } - \sqrt{ \dfrac{1176}{1225} } = \dfrac{4 \sqrt{6}^{(2}}{14} - \dfrac{5 \sqrt{6} }{7} + \dfrac{12 \sqrt{6}^{(3}}{21} - \dfrac{14 \sqrt{6}}{35} = \dfrac{^{5)} 2 \sqrt{6}}{7} - \dfrac{^{5)}5 \sqrt{6} }{7} + \dfrac{^{5)}4 \sqrt{6}}{7} - \dfrac{14 \sqrt{6}}{35} = \dfrac{10\sqrt{6} - 25 \sqrt{6} + 20 \sqrt{6} - 14 \sqrt{6} }{35} = - \dfrac{9 \sqrt{6} }{35}$