Question

Efectuați calculele:
a) 4√7-2(2√7+√3)+√12
b) 5√15-3(√15+2)+4(1-√15)
c) 2(2√3+√2)-(√8+2√12)
d) √3(3√2-3√3)-√2(2√3-3√2)

Answer 1

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✦ Cerință: Efectuați calculele:

✦ Răspuns:

a)  

4√7 - 2 ( 2√7 + √3 )  + √12 =

= 4√7 - 4√7 - 2√3 + 2√3 = 0

b)

5√15 - 3 ( √15 + 2 ) + 4 ( 1 - √15 ) =

= 5√15 - 3√15 - 6 + 4 - 4√15 =

= 2√15 - 2 - 4√15 =

= -2√15 - 2

c)

2 ( 2√3 + √2 ) - ( √8 + 2√12 ) =

= 4√3 + 2√2 - ( 2√2 + 2 × 2√3 ) =

= 4√3 + 2√2 - ( 2√2 + 4√3 ) =

= 4√3 + 2√2 - 2√2 - 4√3 = 0

d)

√3 ( 3√2 - 3√3 ) - √2 ( 2√3 - 3√2 ) =

= 3√6 - 3√9 - 2√6 + 3√4 =

= 3√6 - 3 × 3 - 2√6 + 3 × 2 =

= 3√6 - 9 - 2√6 + 6 =

= √6 - 3

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