Question

stiu formulele insa nu stiu cum sa rezolv la punctul b. Urgent​

Answer 1

Explicație pas cu pas:

Ma=(a+b)/2

a=2/√2+1=√2+1

b=√(1-√2)²=|1-√2|=√2-1

Ma=(√2+1+√2-1)/2=2√2/2=√2

Mg=√(a*b)=√[(√2+1)(√2-1)]=√[(√2)²-1²]=√(2-1)=1

Bafta!

Answer 2

$a = \frac{2}{\sqrt{2}}+1 = \frac{\sqrt{2}\cdot \sqrt{2}}{\sqrt{2}} + 1 = \sqrt{2} + 1\\b=\sqrt{(1-\sqrt{2})^2} = |1 - \sqrt{2}| = \sqrt{2}-1$

$m_a = \frac{\sqrt{2}+1+\sqrt{2}-1}{2} = \frac{2\sqrt{2}}{2} = \sqrt{2}\\m_g = \sqrt{ab} = \sqrt{(\sqrt{2} + 1) (\sqrt{2} - 1)} = \sqrt{(\sqrt{2})^2 - 1^2} = \sqrt{2 - 1} = \sqrt{1} = 1$