Răspuns:
Explicaţie:
rescrie
acum expresia ta devine:
acest lucru se reduce la
care devine 7
Cum simplificați (sqrt (2) * sqrt (2)) + (sqrt (2) * -sqrt (2)) + (0 * 0)?
= 0 (sqrt2 * sqrt2) + (sqrt2 * -sqrt2) + (0 * 0) = (sqrt4) + (- sqrt4) + (0) = (2) + (- 2) + (0) + 0 = 0
Cum simplificați (1 / sqrt (a-1) + sqrt (a + 1)) / (1 / sqrt (a + 1) -1 / sqrt (a-1) (a-1) sqrt (a + 1) - (a + 1) sqrt (a-1)), a>
Format mare de matematică ...> culoare (albastru) (((1 / sqrt (a-1) + sqrt (a + 1)) / (1 / sqrt (a + 1) -1 / sqrt ) / (sqrt (a + 1) / ((a-1) sqrt (a + 1) - (a + 1) sqrt (a-1))) = (A + 1)) / (sqrt (a-1) -sqrt (a + 1)) / (sqrt (a +1) cdot sqrt (a-1) +1) / (sqrt (a-1) cdot sqrt (a-1) cdot sqrt (a +1) -sqrt (a + 1) cdot sqrt (a + 1)) / (sqrt (a-1) -sqrt (a + 1)) / (sqrt (a + 1) cdot sqrt (A + 1)) = sqrt (a + 1) / (sqrt (a + 1) cdot sqrt (a-1) (A + 1) / sqrt (a-1) -sqrt (a + 1)) / (sqrt (a + 1) )) xx (a + 1) cdot sqrt (a-1) (sqrt (a-1) -sqrt (a + 1))) / sqrt (a + 1)) xx (sqrt (a + 1) cdot sqrt (a-1)) / sqrt (a-1) (a + 1))) c
Simplificați expresia ?: 1 / (sqrt (144) + sqrt (145)) + 1 / (sqrt (145) + sqrt (146)) + ... + 1 / sqrt (168) + sqrt
1 Notați mai întâi că 1 / (sqrt (n + 1) + sqrt (n)) = (sqrt (n + 1) -sqrt (n)) / (sqrt (n + 1) + sqrt (sqrt (n + 1) + sqrt (n))) = (sqrt (n + 1) -sqrt (n)) / (n + 1) + sqrt (n)) = sqrt (n + 1) -sqrt (n) Deci: 1 / (sqrt (144) (sqrt (145) + sqrt (146)) + ... + 1 / (sqrt (168) + sqrt (169) (sqrt (146) -sqrt (145)) + ... + (sqrt (169) -sqrt (168)) = sqrt (169) -sqrt (144) = 13-12 =