Question

помогите пожалуйста​

Answer 1

Ответ:

1) 2

2) 3

3)

$\sqrt{ - \frac{3157}{225} }$

4)

$\frac{12}{5}$

Пошаговое объяснение:

1)

$\sqrt{ \frac{83 {}^{2} + 2 \times 83 \times 17 + 17 {}^{2} }{86 {}^{2} - 2 \times 86 \times 36 + 36 {}^{2} } } = \\ = \sqrt{ \frac{6889 + 2822 + 289}{7396 - 6192 + 1296} } = \\ = \sqrt{ \frac{10000}{2500} } = \sqrt{4} = 2$

2)

$\sqrt{ \frac{37.2 {}^{2} + 74.4 \times 22.8 + 22.8 {}^{2} }{63.9 {}^{2} + 43.9 {}^{2} - 2 \times 63.9 \times 43.9 } } = \\ = \sqrt{ \frac{1383.84 + 1696.32 + 519.84}{4083.21 + 1927.21 - 5610.42} } = \\ = \sqrt{ \frac{3600}{400} } = \sqrt{9} = 3$

3)

$\sqrt{ \frac{87 {}^{2} - 87 \times 124 + 62 {}^{2} }{43 {}^{2} - 43 \times 56 + 28 {}^{2} } } = \\ = \sqrt{ \frac{7569 - 10788 + 62}{1849 - 2408 + 784} } = \\ = \sqrt{ - \frac{3157}{225} }$

4)

$\sqrt{ \frac{41.2 {}^{2} + 2 \times 41.2 \times 18.8 + 18.8 {}^{2} }{39 {}^{2} - 39 \times 28 + 14 {}^{2} } } = \\ = \sqrt{ \frac{1697.44 + 1549.12 + 353.44}{1521 - 1092 + 196} } = \\ = \sqrt{ \frac{3600}{625} } = \sqrt{ \frac{144}{25} } = \\ = \frac{ \sqrt{144} }{ \sqrt{25} } = \frac{12}{5}$