Question

Calculeaza
a)2radical27×6radical3;
b)5radical72×3radical50;
c)-2radical3×10radical12;
d)(-radical din 0,24)×(-radical din 900)
e)radical din 0,1×(-radical din15)×radical din 18;
f)3radical125×2radical21×radical din 35

Answer 1

Răspuns

a)2√27x6√3=2x3√3x6√3=6√3x6√3=36x3=108

b)=5√36x√2x3√25x√2=30√2x15√2=30x15x2=900

c)=-2√3x10√4x√3=-2√6x20√3=-40√18=-40x√9x√2=-40x3√2=-120√2

d) =(-√24:√100)x(-√9x√100)=(-2√6:10)x30=-2√6x3=-6√6

Answer 2

Răspuns

Explicație pas cu pas:

a)   2√27 × 6√ 3 = 2 × 3√3 × 6√3 = 36 √9 = 36 × 3 = 108

b)   5√72 × 3√50 = 5 × 6√2 × 3 × 5√2 = 30√2 × 15√2 = 450 × 2 = 900

c)  - 2√3 × 10√12 = - 20√36 = - 20 × 6 = - 120

d)  ( - √0,24 ) × ( - √900 ) = 30√(24/100) = 30 × 2√6 / 10 = 6√6

e)   √0,1 × ( - √15 ) × √18 = - √27 = - 3√3

f)    3√125 × 2√21 × √35 = 6√(125×21×35) = 6√(25²×7²×3) =

=  6 × 25 × 7√3 =  1050√3