Dane są liczny m= 5-√3 i n=2√3 +1. Oblicz:
a) m*n
b) m/n
m=5-√3 n=2√3+1
a) mn=(5-√3)(2√3+1)=
=10√3+5-6-√3=
=9√3-1
5-√3 (5-√3)(2√3-1) 10√3-5-6+√3 11√3-11
b) ---------- = ---------------------= ------------------ = --------------- =
2√3+1 (2√3+1)(2√3-1) 12-1 11
11(√3-1)
= ---------------------- = √3-1
11
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m=5-√3 n=2√3+1
a) mn=(5-√3)(2√3+1)=
=10√3+5-6-√3=
=9√3-1
5-√3 (5-√3)(2√3-1) 10√3-5-6+√3 11√3-11
b) ---------- = ---------------------= ------------------ = --------------- =
2√3+1 (2√3+1)(2√3-1) 12-1 11
11(√3-1)
= ---------------------- = √3-1
11