Which expression is a CUBE ROOT of -2i?

Mathematics

2 answers:

olganol [36]3 years ago

6 0

Remember
∛(ab)=(∛a)(∛b)

also
i¹=i
i²=-1
i³=-i
i⁴=1

so

∛-2i=(∛2)(∛-i)=(∛2)(i)=i∛2

pantera1 [17]3 years ago

3 0

Answer:

i√(2i)

Step-by-step explanation:

Imaginary numbers are complex numbers which can be represented as real numbers by multiplying them with imaginary unit (i = √-1). -2i is an imaginary number. Heron of Alexandria is thought of to be the first person to have used imaginary numbers.

Cube root of -2i

√-2i

= i√2i

= -8×(√-1)³

= i√2i

√-2i

= i√2i

∴ The expression is a CUBE ROOT of -2i is i√(2i)

You might be interested in

<img src="https://tex.z-dn.net/?f=%5Chuge%7B%5Cunderline%7B%5Cfrak%7B%5Cred%7BQ%7D%5Cgreen%7Bu%7D%5Cpink%7Be%7D%5Corange%7Bs%7D%

balu736 [363]

Given :-

x/2 = 3

To Find :-

The value of 2x + 2 .

Solution :-

The given equation to us is ,

$\longrightarrow$ x/2= 3

$\longrightarrow$ x = 3*2

$\longrightarrow$ x = 6

Now we need to find out ,

$\longrightarrow$ 2x + 2

$\longrightarrow$ 2(6) + 2

$\longrightarrow$ 12 + 2

$\longrightarrow$ 14

Hence the required answer is 14.

7 0

2 years ago

Read 2 more answers

Alvin had some marbles in a box. He kept 1/3 of them and gave the remainder to Joyce and Sean. Joyce got 5/8 of the remainder. W

Zigmanuir [339]

First, Alvin gave Joyce and Sean 2/3 of the remainder, to solve first find the common denominator, which in this case is 24. Then, 1/3=?/24, 24/3=8 so it is 8/24 for the total given by Alvin. Joyce got 5/8, 5/8=?/24, 24/8=3,3 x 5=15, 15/24.
15/24 - 8/24= 7/24 is the answer

6 0

3 years ago

Slope formula question (Algebra 2)

DaniilM [7]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 5}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 3}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-3}{3-5}\implies \cfrac{-2}{-2}\implies 1$