Задание:
корень из 18 (корень из 6- корень из 2) — 3 корня из 12 решите
Решение:
√ 18 (√ 6- √ 2) ⋅ 3 ⋅ √ 12=√ 18⋅ 12 (√ 6- √ 2) ⋅ 3=√ 216 (√ 6- √ 2) ⋅ 3=6⋅ √ 6 (√ 6- √ 2) ⋅ 3=(√ 6- √ 2) ⋅ 3 ⋅ 6 0,5+1=(√ 6- √ 2) ⋅ 3 ⋅ 6 1,5=(√ 6- √ 2) ⋅ 3⋅ 6⋅ √ 6=(√ 6- √ 2) ⋅ 18⋅ √ 6=√ 6⋅ 18 ⋅ √ 6+- (√ 2) ⋅ 18 ⋅ √ 6=18 ⋅ 6 0,5⋅ 2-18 ⋅ √ 2⋅ √ 6=18⋅ 6-18 ⋅ √ 2⋅ 6=108-18 ⋅ √ 12=108 — 18⋅ 2⋅ √ 3=108 — 36⋅ √ 3=- 36 ⋅ √ 3+108≈ — 36⋅ 1,7321+108≈ — 62,3538+108≈ 45,6462
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