Čemu se rovná i 2 + i \frac{i}{2+i} 2 + i i

1 5 + 2 5 i \frac{1}{5}+\frac{2}{5}i 5 1 + 5 2 i

1 + 1 5 i 1+\frac{1}{5}i 1 + 5 1 i

3 10 − 2 5 i \frac{3}{10}-\frac{2}{5}i 1 0 3 − 5 2 i

3 5 − 1 5 i \frac{3}{5}-\frac{1}{5}i 5 3 − 5 1 i

Čemu se rovná ∣ 4 − 5 i ∣ \left|4-5i\right| ∣ 4 − 5 i ∣

41 \sqrt{41} 4 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

19 \sqrt{19} 1 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Čemu se rovná ∣ 2 i ∣ + ∣ i ∣ \left|\frac{2}{i}\right|+\left|i\right| ∣ ∣ ∣ ∣ i 2 ∣ ∣ ∣ ∣ + ∣ i ∣

2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 + 2 1+\sqrt{2} 1 + 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Komplexní čísla - algebraický tvar

Authored by Jiří Jahoda

Mathematics

12th Grade - University

Used 9+ times

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11 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Čemu se rovná $i^6$

-1

-i

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná $1+2i^3+3i^4$

1 - i

-2i

4 + 2i

1 + 5i

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná
$\left(1+2i\right)^2$

1 + 4i

-3

-3 + 4i

1 - 4i

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná
$i\cdot\left(2-i\right)+2$

2 + 2i

3 + 2i

-1 - 2i

1 - 2i

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Čemu se rovná
$\frac{i}{2+i}$

$\frac{1}{5}+\frac{2}{5}i$

$1+\frac{1}{5}i$

$2-i$

$\frac{3}{10}-\frac{2}{5}i$

$\frac{3}{5}-\frac{1}{5}i$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná
$\frac{1}{i}$

-1

-i

-2i

1 - i

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná
$\left|4-5i\right|$

$3$

$\sqrt{19}$

$6$

$\sqrt{41}$

$9$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Čemu se rovná

$\left|\frac{2}{i}\right|+\left|i\right|$

$1$

$\sqrt{2}$

$2$

$1+\sqrt{2}$

$3$

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Urči číslo komplexně sdružené s číslem
$-1+\frac{1}{2}i$

$1+0,5i$

$1-0,5i$

$-1+0,5i$

$-1-0,5i$

$i^2$

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Komplexní čísla - algebraický tvar

Čemu se rovná i6i^6i6

Čemu se rovná 1+2i3+3i41+2i^3+3i^41+2i3+3i4

Čemu se rovná (1+2i)2\left(1+2i\right)^2(1+2i)2

Čemu se rovná i⋅(2−i)+2i\cdot\left(2-i\right)+2i⋅(2−i)+2

Čemu se rovná i2+i\frac{i}{2+i}2+ii​

Čemu se rovná 1i\frac{1}{i}i1​

Čemu se rovná ∣4−5i∣\left|4-5i\right|∣4−5i∣

Čemu se rovná ∣2i∣+∣i∣\left|\frac{2}{i}\right|+\left|i\right|∣∣∣∣​i2​∣∣∣∣​+∣i∣

Urči číslo komplexně sdružené s číslem −1+12i-1+\frac{1}{2}i−1+21​i

Označ všechna čísla, která jsou ryze imaginární.

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Popular Resources on Wayground

Discover more resources for Mathematics

Čemu se rovná $i^6$

Čemu se rovná $1+2i^3+3i^4$

Čemu se rovná
$\left(1+2i\right)^2$

Čemu se rovná
$i\cdot\left(2-i\right)+2$

Čemu se rovná
$\frac{i}{2+i}$

Čemu se rovná
$\frac{1}{i}$

Čemu se rovná
$\left|4-5i\right|$

Čemu se rovná

$\left|\frac{2}{i}\right|+\left|i\right|$

Urči číslo komplexně sdružené s číslem
$-1+\frac{1}{2}i$

Označ všechna čísla, která jsou
ryze imaginární.