Question

a) 3√5×2 la puterea -2 ×8√6÷√5-6×(√6+1) b) 2√3 ×5√6 ·10 la puterea -2 ×20√2 =(√5)la puterea 0 fast va rog

Answer 1

a) 3√5×2⁻² ×8√6 :√5-6×(√6+1)=
=3√5×1/2² ×8√6 :√5-6√6-6=
=3√5/4 ×8√6/√5-6√6-6=
=6√6-6√6-6=-6

 b) 2√3 ×5√6 × 10⁻²×20√2 =
= 2√3 ×5√6 ×  1/10²×20√2 =
=10√18 × 1/100×20√2 =
= 30√2 × 1/5×√2 =12

(√5)⁰=1

deci 2√3 ×5√6 × 10⁻²×20√2  ≠(√5)⁰
ori ai scris gresit exercitiul

A)2√5/3 + √10 : √2 /9=
=2√5/3 + √10 × 9/√2 =
=2√5/3 + 9√10 ×√2/2 =
=2√5/3 + 9√20/2 =
=2√5/3 + 9√5 =
=(2√5+27√5)/3=29√5/3 =

B) √2×√3/8 - 2 √6/12=
= √6/8 - √6/6=
=( 6√6/ - 8√6)/48=
=-2√6/48=√6/24

C) √14 :√7/3 -2√24 :√12/5 +4√2/15=
=3√2 -4√6 :2√3/5 +4√2/15=
=3√2 -10√2 +4√2/15=
=(45√2 -150√2 +4√2)/15=-101√2/15