the sum of √-8 and 2√-50 is?

2009-01-03 10:24 am

回答 (11)

2009-01-03 11:57 am
✔ 最佳答案
√-8 + 2√-50
= √[4*(-2)] + 2√[25*(-2)]
= √4* √-2 + 2 * √25 * √-2
= 2*√-2 + 2 * 5 * √-2 [because √4 = 2 and √25 = 5]
= 2*√-2 + 10 * √-2
= (2 + 10) *√-2
= 12 * √-2

Ans: 12 * √-2
2009-01-03 6:32 pm
√-8+2√-50=
√8i^2+2√50i^2=
i√8+2i√50=
i2√2+2*i*5√2=
i√2(2+10)=12i√2
2009-01-03 6:47 pm
√(-8) + 2√(-50)
√(-1*8) + 2√(-1*50)
√(-1*4*2) + 2√(-1*25*2)
√-1√4√2 + 2√-1√25√2
i*2√2 + 2*i*5√2
2i√2 + 10i√2
(2i + 10i)√2
12i√2
2009-01-03 6:40 pm
√-8 + 2√-50 = 2√-2 +2(5)√-2 = 12√-2 = 12i√2
2009-01-03 6:36 pm
√(-8) + 2√(-50)
= √(2^2 * i^2 * 2) + 2√(5^2 * i^2 * 2)
= 2i√2 + 2(5)(i)√2
= 2i√2 + 10i√2
= (2i + 10i)√2
= 12i√2
2009-01-03 6:31 pm
√-8 = 2√2 i and 2√-50 =2√(-2×5×5) =2×5√2 i= 10√2 i
√-8 + 2√-50 =2√2 i + 10√2 i= 12√2 i
2009-01-03 6:30 pm
2√2 i + 2(5√2) i
2√2 i + 10√2 i
12√2 i
2009-01-03 6:56 pm
√-8 + 2√-50
= √(8)i and 2√(50)i
= 2√(2)i and 10√(2)i
= 12√(2)i
2009-01-03 6:34 pm
2√2 i + 2(5√2) i
2√2 i + 10√2 i
12√2 i or √-288)
2009-01-03 6:28 pm
0 + 16.97i


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