Question

vreau si eu ex 5 dau coroanaaaa​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 4/(3√3) -40/(12√3) + 3/(2√3) -7/(4√3) =

= 1/√3 ·(⁴⁾4/3 - 40/12 + ⁶⁾3/2 -³⁾7/4) =

= √3/3 ·(16-40+18-21)/12 = √3/3 ·(-27/12) =

= √3/3 ·(-9/4) = -3√3/4

b) 3/(2√2) - 5/(6√2) -6/(8√2 + 7/(12√2) =

= 1/√2 ·(¹²⁾3/2 -⁴⁾5/6 -³⁾6/8 +²⁾7/12) = √2/2 ·(36-20-18+14)/24=

= √2/2 ·12/24 = √2/2 ·1/2 = √2/4

c) 4/(3√2) - 12/(5√2) + 5/(2√2) - 23/(30√2) =

= 1/√2 ·(¹⁰⁾4/3 -⁶⁾12/5 +¹⁵⁾5/2 -23/30) = √2/2 ·(40-32+75-23)/30=

= √2/2 ·60/30 = √2/2 ·2 = √2

d) 8/(5√3)- 3/(4√3) - 5/(2√3) +9/(10√3) = 1/√3 ·(⁴⁾8/5 -⁵⁾3/4 -¹⁰⁾5/2 +²⁾9/10) =

= √3/3 ·(32-15-50+18)/20 = √3/3 ·(-15/20) = √3/3 ·(-3/4) = -√3/4