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Using De Moivre’s Theorem To Find The Roots Of A Complex Number

Use de moivre’s theorem to find which one of following is fourth root of 3+3i

$\sqrt[8]{18}e$ ⁱ⁹^π/10

$\sqrt[8]{18}e$ ⁱ⁷^π/10

$\sqrt[8]{18}e$ ⁱ¹⁷^π/10

Use de moivre’s theorem to find which one of following is fourth root of $\sqrt{7}+\sqrt{7}i$

$\sqrt[8]{14}e^{ }$ ⁱ²⁵^π/10

$\sqrt[8]{14}e$ ⁱ^π/18

$\sqrt[8]{14}e$ ⁱ^11π/18

Use de moivre’s theorem to find which one of following is not fifth root of 4i

4eⁱ⁸^π/2

4eⁱ^π/2

4eⁱ^π/5

Use de moivre’s theorem to find which one of following is cube root of $\sqrt{2}+\sqrt{2}i$

$\sqrt[3]{2}e$ ⁱ⁷^π/12

$\sqrt[3]{2}e$ ⁱ^π/12

$\sqrt[3]{2}e$ ⁱ²^π/7

Use de moivre’s theorem to find which one of following is fifth root of 4i

8eⁱ³^π/10

eⁱ³^π/10

4eⁱ³^π/10

Use de moivre’s theorem to find which one of following is fifth root of 4i

eⁱ⁸^π/2

eⁱ³^π/10

4eⁱ^π/2

Use de moivre’s theorem to find which one of following is cube root of 8+8i

eⁱ³^π/4

2eⁱ³^π/4

2eⁱ^π/4

Use de moivre’s theorem to find which one of following is fourth root of 3+3i

$\sqrt[8]{18}e$ ⁹^π/10

$\sqrt[8]{18}e$ ⁱ²¹^π/10

$\sqrt[8]{18}e$ ⁱ^π/16

Use de moivre’s theorem to find which one of following is not sixth root of $\sqrt{11}$

$\sqrt{11}$

π

1

Use de moivre’s theorem to find which one of following is fourth root of $\sqrt{7}+\sqrt{7}i$

$\sqrt[8]{14}e$ ⁱ⁷^π/10

$\sqrt[8]{14}e$ ⁱ¹⁷^π/16

$\sqrt[8]{14}e$ ^{i 23}^π/28

Questions

Time

Score

Using De Moivre’s Theorem To Find The Roots Of A Complex Number

Use de moivre’s theorem to find which one of following is fourth root of 3+3i

﻿188e\sqrt[8]{18}e818​e﻿ i9π/10

﻿188e\sqrt[8]{18}e818​e﻿ i7π/10

﻿188e\sqrt[8]{18}e818​e﻿ i17π/10

Use de moivre’s theorem to find which one of following is fourth root of ﻿7+7i\sqrt{7}+\sqrt{7}i7​+7​i﻿

﻿148e\sqrt[8]{14}e^{ }814​e﻿i25π/10

﻿148e\sqrt[8]{14}e814​e﻿ i π/18

﻿148e\sqrt[8]{14}e814​e﻿i11π/18

Use de moivre’s theorem to find which one of following is not fifth root of 4i

4ei8π/2

4eiπ/2

4eiπ/5

Use de moivre’s theorem to find which one of following is cube root of ﻿2+2i\sqrt{2}+\sqrt{2}i2​+2​i﻿

﻿23e\sqrt[3]{2}e32​e﻿ i7π/12

﻿23e\sqrt[3]{2}e32​e﻿ iπ/12

﻿23e\sqrt[3]{2}e32​e﻿ i2π/7

Use de moivre’s theorem to find which one of following is fifth root of 4i

8ei3π/10

ei3π/10

4ei3π/10

Use de moivre’s theorem to find which one of following is fifth root of 4i

ei8π/2

ei3π/10

4eiπ/2

Use de moivre’s theorem to find which one of following is cube root of 8+8i

ei3π/4

2ei3π/4

2eiπ/4

Use de moivre’s theorem to find which one of following is fourth root of 3+3i

﻿188e\sqrt[8]{18}e818​e﻿ 9π/10

﻿188e\sqrt[8]{18}e818​e i21π/10

﻿188e\sqrt[8]{18}e818​e﻿ iπ/16

Use de moivre’s theorem to find which one of following is not sixth root of ﻿11\sqrt{11}11​﻿

﻿11\sqrt{11}11​﻿

π

1

Use de moivre’s theorem to find which one of following is fourth root of ﻿7+7i\sqrt{7}+\sqrt{7}i7​+7​i﻿

﻿148e\sqrt[8]{14}e814​e﻿ i7π/10

﻿148e\sqrt[8]{14}e814​e﻿ i17π/16

﻿148e\sqrt[8]{14}e814​e﻿ i 23π/28

Incorrect

Great!

$\sqrt[8]{18}e$ ⁱ⁹^π/10

$\sqrt[8]{18}e$ ⁱ⁷^π/10

$\sqrt[8]{18}e$ ⁱ¹⁷^π/10

Use de moivre’s theorem to find which one of following is fourth root of $\sqrt{7}+\sqrt{7}i$

$\sqrt[8]{14}e^{ }$ ⁱ²⁵^π/10

$\sqrt[8]{14}e$ ⁱ^π/18

$\sqrt[8]{14}e$ ⁱ^11π/18

4eⁱ⁸^π/2

4eⁱ^π/2

4eⁱ^π/5

Use de moivre’s theorem to find which one of following is cube root of $\sqrt{2}+\sqrt{2}i$

$\sqrt[3]{2}e$ ⁱ⁷^π/12

$\sqrt[3]{2}e$ ⁱ^π/12

$\sqrt[3]{2}e$ ⁱ²^π/7

8eⁱ³^π/10

eⁱ³^π/10

4eⁱ³^π/10

eⁱ⁸^π/2

eⁱ³^π/10

4eⁱ^π/2

eⁱ³^π/4

2eⁱ³^π/4

2eⁱ^π/4

$\sqrt[8]{18}e$ ⁹^π/10

$\sqrt[8]{18}e$ ⁱ²¹^π/10

$\sqrt[8]{18}e$ ⁱ^π/16

Use de moivre’s theorem to find which one of following is not sixth root of $\sqrt{11}$

$\sqrt{11}$

Use de moivre’s theorem to find which one of following is fourth root of $\sqrt{7}+\sqrt{7}i$

$\sqrt[8]{14}e$ ⁱ⁷^π/10

$\sqrt[8]{14}e$ ⁱ¹⁷^π/16

$\sqrt[8]{14}e$ ^{i 23}^π/28