Question

Помогите, пожалуйста!
Всё, кроме первого...

Answer 1

1.

a) $\sqrt{0.04*16} = \sqrt{0.04} *\sqrt{16} =0.2*4=0.8$

б)$\sqrt{\frac{289}{625} } =\frac{\sqrt{289} }{\sqrt{625} } =\frac{17}{25}$

2.

$\frac{\sqrt{52} }{\sqrt{208} } =\sqrt[]{\frac{52}{208} }=\sqrt[]{\frac{1}{4} }=\frac{1}{2}$

3.

$\frac{\sqrt{85^{2} -84^{2} } }{\sqrt{36} } -\frac{1}{6} = \frac{\sqrt{(85-84)(85+84)} }{6} -\frac{1}{6} = \frac{\sqrt{169} }{6} -\frac{1}{6} = \frac{13}{6} -\frac{1}{6} = 2 \frac{1}{6} -\frac{1}{6} =2$

4.

a) $\sqrt{\frac{4}{9}a^{8}b^{4}}=\sqrt{\frac{4}{9} } *\sqrt{a^{8} } *\sqrt{b^{4} } =\frac{2}{3} a^{4}b^{2}$

б)$\sqrt{x} -2\sqrt{y} +3\sqrt{x} -\sqrt{y} -4\sqrt{x} =\sqrt{x}+3\sqrt{x} -4\sqrt{x}-2\sqrt{y} -\sqrt{y}=4\sqrt{x} -4\sqrt{x} -3\sqrt{y}= -3\sqrt{y}$

5.

$\sqrt{7+4\sqrt{3} } *\sqrt{7-4\sqrt{3} } +1=\sqrt{(7+4\sqrt{3})(7-4\sqrt{3}) } +1=\sqrt{49-48} +1=\sqrt{1} +1=1+1=2$