Question

Va rog cu tot cu rezolvare daca se poate​

Answer 1

a)

|√3-√5|

√3<√5=> |√3-√5| = √5-√3

|3-2√5| = |√9-√20|

√9<√20=> |√9-√20| = 2√5-3

|√3-√5| + |√3+√5| - |3-2√5|

= √5-√3+√3-√5-(2√5-3)

= 0-2√5+3

= 3-2√5

b)

|2-√5|

√4<√5=> |2-√5|= √5-2

|1-√3| = |√1-√3| <=> √3-1

|√3-3| = |√3-√9| <=> 3-√3

|2-√5| - |√3+√5| + |1-√3| - |√3-3|

= √5-2-(√3+√5)+√3-1-(3-√3)

= √5-2-√3-√5+√3-1-3+√3

= √3-6

c)

|1-√2| = |√1-√2| <=> √2-1

|√3+√2| - |√3+5| - |1-√2| + |-5|

= √3+√2-(√3+5)-(1-√2)+5

= √3+√2-√3-5-1+√2+5

= 2√2-1

d)

|√2-√3| = √3-√2

|√2-√3| + |2-√3| + |1-√2| - |-3|

= √3-√2+2-√3+√2-1-3

= -2