Răspuns:
a)
[tex] \sqrt{ \sqrt{14} \times \sqrt{56} } = \\ \sqrt{49 \times 16} = 7 \times 4 = 28 \\ [/tex]
b)
[tex] \sqrt{(13 - \sqrt{69})(13 + \sqrt{69} ) } = \\ \sqrt{169 - 69} = \sqrt{100} = 10[/tex]
c)
[tex] \frac{ \sqrt{200} + \sqrt{7} }{2} = \frac{10 \sqrt{2 } + \sqrt{7} }{2} \\ \sqrt{ \frac{(10 \sqrt{2} - \sqrt{7} )(10 \sqrt{2} + \sqrt{7)} }{16} } = \\ [/tex]
(√200-7)/4=√197/4
d)5√2+9√2-10√2=4√2
2√2+7√2/5=(10√2+7√2)/5=17√2/5
mg=√(4√2×17√2/5)=2√34/5
