Question

Exercițiul 10 vă rog (fără cele cu roșu)

Answer 1

Răspuns:

Explicație pas cu pas:

b) 2 1/2·√0,0144+(-1)¹¹·√0,16+0,1(6)·√0,36=

5/2·√(144/100000)-√(16/100)+15/90·√(36/100)=

5/2·12/100-4/10+1/6·6/10= 5·12/2·100-4/10+1·6/6·10=12/2·20-4/10+1/10=

3/2·5-4/10+1/10=3/10-4/10+1/10=0

c) 1 2/3·√0,0225+0,(3)·√0,81-0,2(7)·√0,0324=

5/3·√(225/10000)+3/9·√(81/100)-25/90·√(324/10000)=

5/3·15/100+1/3·9/10-5/18·18/100=5·15/3·100+9/3·10-5·18/18·100=

15/3·20+3/10-1/20=3/3·4+3/10-1/20=1/4+3/10-1/20=(5+6-1)/20=10/20=1/2

d) 3 2/5:√0,0289-4 2/3:√(196/81)-2,(6)·√(144/256)=

17/5:√(289/10000)-14/3:14/9-24/9·12/16=17/5:17/100-14/3·9/14-24·12/9·16=

17/5·100/17-14·9/3·14-8·12/3·16=17·100/5·17-9/3-12/3·2=100/5-3-2=20-5=15

f) 2,(3)·√0,(1)-√(324/25):√(81/225)+√1225:√49=21/9·√(1/9)-18/5:9/15+35:7=

21/9·1/3-18/5·15/9+5=7/9-18·15/5·9+5=7/9-30/6+5=7/9-6+5=7/9-1=

(7-9)/9=-2/9

g) √[(0,5)²+2·0,5·0,12+(0,12)²]=√(0,5+0,12)²=0,5+0,12=0,62