Express the following expression in the form of a-ib- 3-i- 5 3-i- 5 - 3 - 2i - - 3 -i- 2

=( 3 )^2 ( √(5) i)^2√(3) #160; + √(2) i √(3) #160; + √(2) i =9 52√(2) i×ii = 7√(2)2i =0+ 7√(2)2i ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Iota

Express the f...

Question

Express the following expression in the form of $a + i b$ .
$\frac{(3 + i \sqrt{5}) (3 - i \sqrt{5})}{(\sqrt{3} + \sqrt{2 i}) - (\sqrt{3} - i \sqrt{2})}$

Open in App

Solution

Suggest Corrections

Similar questions

Express the following expression in the form of a + ib

$\frac{(3 + \sqrt{5} i) (3 - \sqrt{5} i)}{(3 + \sqrt{2} i) - (\sqrt{3} - \sqrt{2} i)}$

a + i b

\frac{1}{i} + \frac{2}{i^{2}} + \frac{3}{i^{3}} + \frac{5}{i^{4}}

A + i B

\frac{3 + 5 i}{2 - 3 i}

\frac{\sqrt{3} - i \sqrt{2}}{2 \sqrt{3} - i \sqrt{2}}

\frac{1 + i}{1 - i}

\frac{{(1 + i)}^{2}}{3 - i}

\frac{{(a + i b)}^{2}}{a - i b} - \frac{{(a - i b)}^{2}}{a + i b}

{(5 - 3 i)}^{3}

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

A + i B

\frac{1 + 2 i + 3 i^{2}}{1 - 2 i + 3 i^{2}}

Join BYJU'S Learning Program