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pups9
@pups9
July 2022
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zhenyaM2002
Verified answer
1) 10√3 - 5√48 + 2√75 = 10√3 - 5√(16*3) + 2√(25*3) =
= 10√3 - 5*4√3 + 2*5√3 = 10√3 - 20√3 + 10√3 = 0
2) (3√5 - √20) * √5 = (3√5 - √(4*5) )*√5 = (3√5 - 2√5) *√5 =
= √5 *√5 = 5
можно решить проще:
=3√5 *√5 - √20 * √5 = 3*(√5)² - √(20*5) = 3*5 -10 =15-10 = 5
3) (5 - √2)² = 5² - 2*5*√2 + (√2)² = 25 -10√2 + 2 = 27-10√2
4)(√18 - √3)√2+ 0.5√24 = √18*√2 - √3 *√2 + √((0.5)²*24)=
= √(18*2) - √(3*2) + √(0.25*24) = √36 - √6 +√6 = 6
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Answers & Comments
Verified answer
1) 10√3 - 5√48 + 2√75 = 10√3 - 5√(16*3) + 2√(25*3) == 10√3 - 5*4√3 + 2*5√3 = 10√3 - 20√3 + 10√3 = 0
2) (3√5 - √20) * √5 = (3√5 - √(4*5) )*√5 = (3√5 - 2√5) *√5 =
= √5 *√5 = 5
можно решить проще:
=3√5 *√5 - √20 * √5 = 3*(√5)² - √(20*5) = 3*5 -10 =15-10 = 5
3) (5 - √2)² = 5² - 2*5*√2 + (√2)² = 25 -10√2 + 2 = 27-10√2
4)(√18 - √3)√2+ 0.5√24 = √18*√2 - √3 *√2 + √((0.5)²*24)=
= √(18*2) - √(3*2) + √(0.25*24) = √36 - √6 +√6 = 6