Question

rezultate:
a)54rad2
b)81rad3
c)128rad2
d)3000rad3
e)48rad6
f)-5rad5​

Answer 1

coroana????

a)

$x = 2 \sqrt{2} + \sqrt{2} = 3 \sqrt{2} \\ {(3 \sqrt{2}) }^{ 3} = 27 \times 2 \sqrt{2} = 54 \sqrt{2}$

b)

$x = \sqrt{3} + 2 \sqrt{3} = 3 \sqrt{3} \\ {(3 \sqrt{3)} }^{3} = 27 \times 3 \sqrt{3} = 81 \sqrt{3}$

c)

$x = 5 \sqrt{2} - \sqrt{2} = 4 \sqrt{2} \\ {(4 \sqrt{2)} }^{3} = 64 \times 2 \sqrt{2} = 128 \sqrt{2}$

d)

$x = 5 \sqrt{12} - 4 \sqrt{75} = {(10 \sqrt{3} - 20 \sqrt{3)} }^{3} = ({ - 10 \sqrt{3} )}^{ 3} = - 1000 \times 3 \sqrt{3} = - 3000 \sqrt{3}$

e)

$x = 3 \sqrt{96} - 5 \sqrt{24} = {(12 \sqrt{6} - 10 \sqrt{6} )}^{3} = {(2 \sqrt{6} )}^{3} = 8 \times 6 \sqrt{6} = 48 \sqrt{6}$

f)

$x = - 3 \sqrt{45} + 2 \sqrt{80} = {( - 9 \sqrt{5} + 8 \sqrt{5)} }^{3} = {( - \sqrt{5)} }^{3} = 5 \times ( - \sqrt{5} ) = - 5 \sqrt{5}$