Question

Ajutati-ma va rog.....!

Answer 1

a)18=2·3²
25=5²
32=2⁵
225=5²·3²
50=5²·2
9=3²
ex devine=3√2/5+4√2/15+5√2/3
=(3·3√2+4√2+5·5√2)/15
=(9√2+4√2+25√2)/15
=38√2/15

b)845=5·13²
576=2⁶·3²
405=5·3⁴
36=2²·3²
45=5·3²
4=2²
ex.devine=13√5/24-9√5/6+3√5/2
=(13√5-4·9√5+12·3√5)/24
=(13√5-36√5+36√5)/24=13√5/24

c) =8√2/7+12√2/14-9√2/21+11√2/28
=(12·8√2+6·12√2-4·9√2+3·11√2)/84
=(96√2+72√2-36√2+33√2)/84
=165√2/84

d) =4√6/14-5√6/7+12√6/21-14√6/35
=(15·4√6-30·5√6+10·12√6-6·14√6)/210
=(60√6-150√6+120√6-84√6)/210
=-54√6/210=-9√6/35

e)=23√5/12-16√5/9+7√5/36-3√5/16
=(12·23√5-16·16√5+4·7√5-9·3√5)/144
=(276√5-256√5+28√5-27√5)/144
=21√5/144

f)= 3√7/25-10√7/16+4√7/25-7√7/16
=7√7/25-17√7/16
=(16·7√7-25·17√7)/400
=(112√7-425√7)/400
=-313√7/400

g)=√(20/9)+√5/3-√(50/9)+√(128/9)
=2√5/3+√5/3-5√2/3+8√2/3
=3√5/3+3√2/3
=√5+√2

h)=√(2·196+8)/196+√(3·16+1)/16+√(2·49+2)/49
=√(400/196)+√(49/16)+√(100/49)
=20/14+7/4+10/7
=(2·20+7·7+4·7)/28
=(40+49+28)/28
=117/28