Question

Vreau răspunsul doar la cele încercuite adică ex: 3,4,5,6 și cel extra

Answer 1

3.

a) (3√3)²=3²*√3²=9*3=27

b)√5³=√5²*√5=5√5

c)√2⁷=√2⁶*√2=2³√2=8√2

d)(-√3)⁵=-3²*√3=-9√3

e) (3√5)⁴=3⁴*√5⁴=81*5²=81*25=2025

4.

a) ma=(√3+3√3)/2=4√3/2=2√3

mg=√(√3*3√3)=√3*3=√9=3

b) ma=(2√3+5√3)/2=7√3/2

mg=√(2√3*5√3)=√10*3=√30

c)ma=(√24+3√150)/2=(2√6+15√6)/2=17√6/2

5.

mg=√ab

a=2b=>mg=√2b²<=>4√2=√2b² |()²=>4²*√2²=2b²<=>32=2b²=>b²=32/2=16=>b=√16=4

a=2b=2*4=8

6.

a)x²=25<=>x²=5²=> x=5

b)x²=9<=> x²=3²=>x=3

c)x²=1<=>x²=1²=>x=1

d)x²=18=>x=√18

e)x²=49/81<=>x²=7²/9²=>x=7/9

EXTRA:

a) (3√5)¹⁰:(3√5)⁹=(3√5)¹⁰⁻⁹=(3√5)¹=3√5

b) (√2/3)⁻¹¹*(√2/3)⁹=(√2/3)⁻¹¹⁺⁹=(√2/3)⁻²=1/(√2/3)²=1/2/9=9/2

c)3√5*(2√2)-5√40+2√90=6√10-10√10+6√10=12√10-10√10=2√10

d)6√6:(3√2)-5√12:(-√6)=2√3+5√2