Х*√(2-х) = 1*√(2-х) + х * 1/ 2√(2-х) * (-1) = √(2-х) - х/2√(2-х)
Для того, чтобы это узнать просто подставим значения
-64=(-(-4))³
-64=64 Не сошлось, поэтому не принадлежит
1) √75/√3=√(75/3)=√25=5
√(-3)⁸=√3⁸=3⁴=81
4)
(1+√5)²=1+5+2√5=6+2√5=2(3+√5)
(√5-√3)(√5+√3)=√5²-√3²=5-3=2
![\frac{(3 \sqrt{14}+ \sqrt{7})* \sqrt{7} }{7} -2 \sqrt{2} = \frac{21 \sqrt{2}+7 }{7} -2 \sqrt{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B%283+%5Csqrt%7B14%7D%2B+%5Csqrt%7B7%7D%29%2A+%5Csqrt%7B7%7D+++%7D%7B7%7D+-2+%5Csqrt%7B2%7D+%3D+%5Cfrac%7B21+%5Csqrt%7B2%7D%2B7+%7D%7B7%7D+-2+%5Csqrt%7B2%7D+)
![\frac{21 \sqrt{2} +7-14 \sqrt{2} }{7} = \frac{7( \sqrt{2}+1) }{7} = \sqrt{2} +1](https://tex.z-dn.net/?f=+%5Cfrac%7B21+%5Csqrt%7B2%7D+%2B7-14+%5Csqrt%7B2%7D+%7D%7B7%7D+%3D+%5Cfrac%7B7%28+%5Csqrt%7B2%7D%2B1%29+%7D%7B7%7D+%3D+%5Csqrt%7B2%7D+%2B1)
6)
![4 \sqrt{ \frac{7}{2} } - \sqrt{14} - \sqrt{14} = 4 \sqrt{3,5} -2 \sqrt{14} =2(2 \sqrt{3,5} - \sqrt{14} )](https://tex.z-dn.net/?f=4+%5Csqrt%7B+%5Cfrac%7B7%7D%7B2%7D+%7D+-+%5Csqrt%7B14%7D+-+%5Csqrt%7B14%7D+%3D+4+%5Csqrt%7B3%2C5%7D+-2+%5Csqrt%7B14%7D+%3D2%282+%5Csqrt%7B3%2C5%7D+-+%5Csqrt%7B14%7D+%29)
4 задание с умовой и решением
1)
![{x}^{2} + 10x + 25 - 16 = {x}^{2} + 9x + x + 9 = (x + 1) \times (x + 9)](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++%2B+10x+%2B+25+-+16+%3D++%7Bx%7D%5E%7B2%7D+%2B+9x+%2B+x+%2B+9+%3D+%28x+%2B+1%29+%5Ctimes+%28x+%2B+9%29)
2)
![81 - {m}^{2} + 14m - 49 = 32 - {m}^{2} + 14m = - {m}^{2} + 14m + 32 = - {m}^{2} + 16m - 2m + 32 = ( - m - 2) \times (m - 16)](https://tex.z-dn.net/?f=81+-++%7Bm%7D%5E%7B2%7D+%2B+14m+-+49+%3D+32+-++%7Bm%7D%5E%7B2%7D+%2B+14m+%3D++-++%7Bm%7D%5E%7B2%7D+%2B+14m+%2B+32+%3D++-++%7Bm%7D%5E%7B2%7D+%2B+16m+-+2m+%2B+32+%3D+%28+-+m+-+2%29+%5Ctimes+%28m+-+16%29+)
5 задание с умовой и решение
1)
![{a}^{2} - a - {b}^{2} - b = (a - b) \times (a + b) - (a + b) = ((a - b) - 1) \times (a + b) = (a - b - 1) \times (a + b)](https://tex.z-dn.net/?f=+%7Ba%7D%5E%7B2%7D+-+a+-+%7Bb%7D%5E%7B2%7D+-+b+%3D+%28a+-+b%29+%5Ctimes+%28a+%2B+b%29+-+%28a+%2B+b%29+%3D+%28%28a+-+b%29+-+1%29+%5Ctimes+%28a+%2B+b%29+%3D+%28a+-+b+-+1%29+%5Ctimes+%28a+%2B+b%29)
2) Не смогла решить