SImplify? - Algebra 2024

Jawapan:

#sqrt ((x - 1) ^ (5)) #

Penjelasan:

Kami ada: # (x - 1) ^ (2) sqrt (x - 1) #

# = (x - 1) ^ (2) cdot (x - 1) ^ (frac (1) (2)) #

Menggunakan undang-undang eksponen:

# = (x - 1) ^ (2 + frac (1) (2)) #

# = (x - 1) ^ (frac (5) (2)) #

# = sqrt ((x - 1) ^ (5)) #

SImplify ungkapan ini: {[(1 + 5/4) - (1 + 3/2) + (2 + 1/4)] - 1/6 + 5/2} + (5/3 + 1)?

7 {[(1+5/4)-(1+3/2)+(2+1/4)]-1/6+5/2}+(5/3+1) = {[(4/4+5/4)-(2/2+3/2)+(8/4+1/4)]-1/6+5/2}+(5/3+3/3) = {[9/4-5/2+9/4]-1/6+5/2}+8/3 = {[9/4-10/4+9/4]-1/6+5/2}+8/3 = {8/4-1/6+5/2}+8/3 = {24/12-2/12+30/12}+32/12 = 52/12+32/12 = 84/12=7

(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8) Multiply and Simplify?

(sqrt5-sqrt7) (sqrt5-sqrt8) = warna (biru) (5-2sqrt10-sqrt35 + 2sqrt14 (sqrt5-sqrt7) (sqrt5-sqrt8) Gunakan kaedah FOIL. http://en.wikipedia.org/wiki/ FOIL_method (sqrt5sqrt5) - (sqrt5sqrt8) - (sqrt5sqrt7) + (sqrt7sqrt8) Mudahkan 5-sqrt40-sqrt35 + sqrt56 Perdana memaksimumkan radicar 5-sqrt (2 * 2 * 2 * 5) sqrt (2 * 2 * 2 * 7) Memudahkan. 5-2sqrt10-sqrt35 + 2sqrt14