7. Найдите значение выражения:
- a) \\ $$ \sqrt{37 + c} $$
- $$ c = 12; \sqrt{37 + 12} = \sqrt{49} = 7 $$
- $$ c = -1; \sqrt{37 - 1} = \sqrt{36} = 6 $$
- $$ c = 27; \sqrt{37 + 27} = \sqrt{64} = 8 $$
- $$ c = -28; \sqrt{37 - 28} = \sqrt{9} = 3 $$
- $$ c = 63; \sqrt{37 + 63} = \sqrt{100} = 10 $$
- б) \\ $$ \sqrt{a - b} $$
- $$ a = 70, b = 6; \sqrt{70 - 6} = \sqrt{64} = 8 $$
- $$ a = 38, b = -43; \sqrt{38 - (-43)} = \sqrt{38 + 43} = \sqrt{81} = 9 $$
- $$ a = \frac{3}{4}, b = -\frac{1}{18}; \sqrt{\frac{3}{4} - (-\frac{1}{18})} = \sqrt{\frac{3}{4} + \frac{1}{18}} = \sqrt{\frac{27}{36} + \frac{2}{36}} = \sqrt{\frac{29}{36}} = \frac{\sqrt{29}}{6} $$
- $$ a = 0.93, b = 0.57; \sqrt{0.93 - 0.57} = \sqrt{0.36} = 0.6 $$
- $$ a = -0.29, b = -0.78; \sqrt{-0.29 - (-0.78)} = \sqrt{-0.29 + 0.78} = \sqrt{0.49} = 0.7 $$
- в) \\ $$ 2\sqrt{x} - x $$
- $$ x = 0; 2\sqrt{0} - 0 = 0 $$
- $$ x = 0.01; 2\sqrt{0.01} - 0.01 = 2 \cdot 0.1 - 0.01 = 0.2 - 0.01 = 0.19 $$
- $$ x = 900; 2\sqrt{900} - 900 = 2 \cdot 30 - 900 = 60 - 900 = -840 $$
Ответ:a) 7, 6, 8, 3, 10; б) 8, 9, $$\frac{\sqrt{29}}{6}$$, 0.6, 0.7; в) 0, 0.19, -840