Question

Calculati: (vreau si rezolvare)
a)  |√8-2√3|-|2√2-9|+|13-2√3|=
b)  |3-√10|+|√10-4|+|-9|=
c)  |5-√24|-|2√6-25|+|-2 supra 3|=
d)  |3-√3|+|-√3-1|-|-4|=

Multumesc!

Answer 1

a) |√8-2√3|-|2√2-9|+|13-2√3|=|2√2-2√3|+2√2-9+13-2√3=-2√2+2√3+2√2-9+13-2√3=4
b) |3-√10|+|√10-4|+|-9|=-3+√10-√10+4+9=10
c) |5-√24|-|2√6-25|+|-2 supra 3|=|5-2√6|-|2√6-25|+|-2 supra 3|=5-2√6+2√6-25+2/3=-58/3
d) |3-√3|+|-√3-1|-|-4|=3-√3+√3+1-4=0

Answer 2

a) |√8-2√3|-|2√2-9|+|13-2√3|=I2√3-√8I-I9-2√2I+I13-2√3I=
2√3-√8-(9-2√2)+13-2√3=
2√3-2√2-9+2√2+13-2√3=4

b) |3-√10|+|√10-4|+|-9|=I√10-3I+I4-√10I+9=
√10-3+4-√10+9=10

c) |5-√24|-|2√6-25|+|-2 supra 3|=I5-2√6I-I25-2√6I+2/3=
5-2√6-(25-2√6)+2/3=
5-2√6-25+2√6+2/3=20+2/3=62/3=20,(6)

d) |3-√3|+|-√3-1|-|-4|=3-√3-√3-1-4=-2-2√3=2(-1-√3)