Question

va rooog..exercitiile incercuite... heeelp

Answer 1

2.
a) √5²+√3²=5+3=8 
b) √7²-√11²=7-11=-4 
c) 3⁻² ×√2 =1/3² ×√2=√2/9
d) (1/5)⁻³ ×√3/5 =5³ ×√3/5=5²√3=25√3
e) (3√3)² -(√8)² =9×3-8=27-8=19
f)  (2√5/3)² -(3√2/2)²-1=4×5/9-9×2/4-1=20/9-9/2-1=(40-81-18)/18=-59/18
g) (0,2)⁻¹ × 1/√5=(1/5)⁻¹ × √5/5=5¹ × √5/5=√5
h)[2,(3)]⁻² × √7/2= [(23-2)/9]⁻² × √7/2=(21/9)⁻² × √7/2=(7/3)⁻² × √7/2=
=(3/7)² × √7/2=9/49 x√7/2 =9√7/98

6
a)(2√3-2√12+2√75) × (1/√3)⁻¹=
=(2√3-6√3+10√3) × √3¹=
=6√3 × √3= 6x3=18

b)(-5/√18 -3/4√2+1/√2) ×(2√2)³=
=(-5/3√2 -3/4√2+1/√2) ×16√2=
=-80/3-12+16=
=-80/3+4
=(-80+12)/3=
=-68/3

c)(3/-√72 -2/√8)×(5/√12 -3/√27)=
=(-3/6√2 -2/2√2)×(5/2√3 -1/√3)=
=(-1/2√2 -2√2/2×2)×(5/2√3 -2/2√3)=
=(-√2/4 -2√2/4)×(3/2√3)=
=(-3√2/4)×(3√3/6)=
=(-3√2/4)×(√3/2)=
=-3√6/8