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Find Nth Roots Of Complex Numbers

Which one of following is not cube root of $2\sqrt{3}+2i$ ?

$\sqrt[3]{4}e^{ }$ ^π/18

$\sqrt[3]{4}e^{ }$ ¹³^π/18

$\sqrt[3]{4}e^{ }$ ¹¹^π/18

Which one of following is cube root of 1?

(1/2)+( $\sqrt{3}$ /2)i

(-1/2)+( $\sqrt{3}$ /2)i

-1

Which one of following is not a cube root of 1?

(1/2)+( $\sqrt{3}$ /2)i

(-1/2)+( $\sqrt{3}$ /2)i

1

Which one of following is forth root of z⁴=-8+8 $\sqrt{3}$ i?

e^π/2

2e^π/6

2e^π/3

Which one of following is cube root of
2 $\sqrt{3}$ +2i?

$\sqrt[3]{4}$ e⁷^π/18

$\sqrt[3]{4}$ e³^π/18

$\sqrt[3]{4}$ e^-11^π/18

Which one of following is fourth root of -1?

e^π/2

e³^π/4

e^π/6

Which one of following is fourth root of -1?

e^π/2

e⁵^π/4

e^π/6

Which one of following is forth root of z⁴=-8+8 $\sqrt{3}i$ ?

e^π/2

2e⁷^π/6

2e²^π/3

Which one of following is not fourth root of -1?

e^π/2

e⁵^π/4

e³^π/4

Which one of following is fourth root of -1?

e^π/2

e³^π/18

e^π/4

Questions

Time

Score

Find Nth Roots Of Complex Numbers

Which one of following is not cube root of ﻿23+2i2\sqrt{3}+2i23​+2i﻿ ?

﻿43e\sqrt[3]{4}e^{ }34​e﻿ π/18

﻿43e\sqrt[3]{4}e^{ }34​e﻿ 13π/18

﻿43e\sqrt[3]{4}e^{ }34​e﻿ 11π/18

Which one of following is cube root of 1?

(1/2)+(﻿3\sqrt{3}3​﻿ /2)i

(-1/2)+(﻿3\sqrt{3}3​﻿ /2)i

-1

Which one of following is not a cube root of 1?

(1/2)+(﻿3\sqrt{3}3​﻿ /2)i

(-1/2)+(﻿3\sqrt{3}3​﻿ /2)i

1

Which one of following is forth root of z4=-8+8﻿3\sqrt{3}3​﻿ i?

eπ/2

2eπ/6

2eπ/3

Which one of following is cube root of 2﻿3\sqrt{3}3​﻿ +2i?

﻿43\sqrt[3]{4}34​﻿ e7π/18

﻿43\sqrt[3]{4}34​﻿ e3π/18

﻿43\sqrt[3]{4}34​﻿ e-11π/18

Which one of following is fourth root of -1?

eπ/2

e3π/4

eπ/6

Which one of following is fourth root of -1?

eπ/2

e5π/4

eπ/6

Which one of following is forth root of z4=-8+8﻿3i\sqrt{3}i3​i﻿ ?

eπ/2

2e7π/6

2e2π/3

Which one of following is not fourth root of -1?

eπ/2

e5π/4

e3π/4

Which one of following is fourth root of -1?

eπ/2

e3π/18

eπ/4

Incorrect

Great!

Which one of following is not cube root of $2\sqrt{3}+2i$ ?

$\sqrt[3]{4}e^{ }$ ^π/18

$\sqrt[3]{4}e^{ }$ ¹³^π/18

$\sqrt[3]{4}e^{ }$ ¹¹^π/18

(1/2)+( $\sqrt{3}$ /2)i

(-1/2)+( $\sqrt{3}$ /2)i

(1/2)+( $\sqrt{3}$ /2)i

(-1/2)+( $\sqrt{3}$ /2)i

Which one of following is forth root of z⁴=-8+8 $\sqrt{3}$ i?

e^π/2

2e^π/6

2e^π/3

Which one of following is cube root of
2 $\sqrt{3}$ +2i?

$\sqrt[3]{4}$ e⁷^π/18

$\sqrt[3]{4}$ e³^π/18

$\sqrt[3]{4}$ e^-11^π/18

e^π/2

e³^π/4

e^π/6

e^π/2

e⁵^π/4

e^π/6

Which one of following is forth root of z⁴=-8+8 $\sqrt{3}i$ ?

e^π/2

2e⁷^π/6

2e²^π/3

e^π/2

e⁵^π/4

e³^π/4

e^π/2

e³^π/18

e^π/4