Question

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Answer 1

Răspuns:

$a)ma = \frac{a + b}{2} = \frac{2 + 32}{2} = \frac{34}{2} = 17 \\ mg = \sqrt{a \times b } = \sqrt{2 \times 32} = \sqrt{64} = 8$

$b)ma = \frac{a + b}{2} = \frac{7 \sqrt{14} + 2}{2} \\ mg = \sqrt{a \times b} = \sqrt{7 \sqrt{14} \times 2} = \sqrt{14 \sqrt{14} }$

$c)ma = \frac{a + b}{2} = \frac{7 \sqrt{14} + 2 \sqrt{4} }{2} = \frac{7 \sqrt{14} + 2 \times 2 }{2} = \frac{7 \sqrt{14} + 4}{2} \\ mg = \sqrt{a \times b} = \sqrt{7 \sqrt{14} \times 2 \sqrt{4} } = \sqrt{7 \sqrt{14} \times 4} = \sqrt{28 \sqrt{14} }$

$d)ma = \frac{a + b}{2} = \frac{2 \sqrt{5} + 8 \sqrt{5} }{2} = \frac{10 \sqrt{5} }{2} = 5 \sqrt{5} \\ mg = \sqrt{a \times b} = \sqrt{2 \sqrt{5} \times 8 \sqrt{5} } = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4 \sqrt{5}$