Question

3•(✓3-✓18)+9✓2=
[✓3•(✓8-✓27)+✓6]:3+3=
(2✓5+✓2)•(3✓2-✓5)=
✓(4✓2-6)^2 + ✓(3✓2-4)^2=
pls ajutoooor
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Answer 1

Răspuns:

Explicație pas cu pas:

3•(✓3-✓18)+9✓2=  3*(√3 - 3√2) + 9√2 = 3√3 - 9√2 + 9√2 = 3√3

[✓3•(✓8-✓27)+✓6]:3+3=  (√24 - √81 + √6) : 3 + 3 = (2√6 - 9 + √6) : 3 + 3

= (3√6 - 9) : 3 + 3 = √6 - 3 + 3 = √6

(2✓5+✓2)•(3✓2-✓5)=  2√5*3√2 - 2√5*√5 + √2*3√2 - √2*√5

= 6√10 - 10 + 6 - √10 = 5√10 - 4

✓(4✓2-6)^2 + ✓(3✓2-4)^2= I4√2 - 6I + I3√2 - 4I = 6 - 4√2 + 3√2 - 4

= 2 - √2