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3 years ago

-3√-20 written as a complex number

Mathematics

1 answer:

galben [10]3 years ago

3 0

Answer: 3√-20 = 3√20√-1 = (3√20)i

Step-by-step explanation:

√-20 can be written √20√-1 since

(√20√-1)^2 is indeed -20.

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Step-by-step explanation:

$\text{Fraction of orange cup used in one punch = }\frac{1}{2}\\\\\text{Fraction of mango cup used in one punch = }\frac{1}{5}\\\\\text{Now, to calculate the ratio : lcm of (2,5) = 10}\\\\So, Orange : Mango = \frac{1}{2}\times 10 :\frac{1}{5}\times 10=5:2\\\\\text{Now, required no. of orange juice cups = }\frac{\text{Orange cup ratio}}{\text{Sum of ratios}}\times 21\\\\=\frac{5}{7}\times 21=15\thinspace cups$

$\text{Now, required no. of mango juice cups = }\frac{\text{Mango cup ratio}}{\text{Sum of ratios}}\times 21\\\\=\frac{2}{7}\times 21=6\thinspace cups$

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