Write the number as the product of a real number and i

Question

9 months ago

9

d="TexFormula1" title=" \sqrt{ - 25} = " alt=" \sqrt{ - 25} = " align="absmiddle" class="latex-formula">

1 answer:

Aneli [31] · Answer 1 · 2024-04-25T11:29:45+03:00

Aneli [31]9 months ago

3 0

first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.

Then, you can write:

$\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i$

because i = √-1.

Hence, the answer is 5i