Question

* * 4 5. Calculaţi: 5. : (V2)7 (17) (V2)12 a) (13,5) (17) (V5) b) (V3) -4 (19) ·(13) v 95 c) -6 d) (13) *: (5.5) . V3


help dau coroana doamna nu ne explica​

Answer 1

Răspuns:

a)

$( \sqrt{3.5} )^{5} = (\sqrt{ \frac{35}{10} } )^{5} = (\sqrt{ \frac{7}{2} } )^{5} = (\frac{ \sqrt{7} }{ \sqrt{2} } )^{5} = (\frac{ \sqrt{14} }{2} )^{5} = \frac{196 \sqrt{14} }{32} = \frac{49 \sqrt{14} }{8}$

$\frac{49 \sqrt{14} }{8} \times \frac{8 \sqrt{2} }{49 \sqrt{7} } = 8 \sqrt{2} \times \sqrt{2} = 16$

b)

$\frac{25 \sqrt{5} }{81} \times \frac{81}{25} = \sqrt{5}$

c)

$\frac{49 \sqrt{7} }{64} \div \sqrt({ \frac{7}{8} } )^{4} = \frac{49 \sqrt{7} }{64} \times \frac{64}{49} = \sqrt{7}$

d)

$( \sqrt{ \frac{5}{3} } )^{6} \times \frac{9 \sqrt{3} }{125} = \frac{125}{27} \times \frac{9 \sqrt{3} }{125} = \frac{ \sqrt{3} }{3}$