Question

Usuń niewymierności z mianownika przykład A, B, C, D,E, F,

http://campari-lubliniec.pl/mata.jpg

Answer 1

A)
2/√3 = 2√3/√9 = 2√3/3

b)
4/3√2 = 4*3√2/3√2*3√2 = 12√2/9*2 = 12√2/18 = 2√2/3

c)
1/6+√2 = 1(6-√2)/(6+√2)(6-√2) = 6-√2/36-2 = 6-√2/34

d)
2√2/√5+4) = 2√2(√5-4)/(√5+4)(√5-4) = 2√2√5-8√2/5-16 = 2√10-8√2/-11

e)
2/4-3√2 = 2(4+3√2)/(4-3√2)(4+3√2) = 8+6√2/16-9*2 = 8+6√2/16-18 = 2(4+3√2)/-2 = -(4+3√2) = -4-3√2

f)
2√3-1/2√3+2 = (2√3-1)(2√3-2)/(2√3+2)(2√2-2) = 4*3-4√3-2√3+2/4*3-4 = 12-6√3+2/12-4 = 14-6√3/8 = 2(7-3√3)8 = 7-3√3/4