Question

Express in terms of i.

4sqrt-225

Answer 1

\[4\sqrt{-225}\]
???

Answer 2

yes

Answer 3

here's a hint:

\[\huge 15^2 = 225\]
does that help?

Answer 4

not really

Answer 5

\[\sqrt {ab}=\sqrt a\sqrt b\]

Answer 6

how about this:
\[\huge (15i)^2 \implies (225)(-1) \implies -225\]

Answer 7

do you get what im implying now?

Answer 8

not really.

Answer 9

.....what it means is that \[\huge \sqrt{-225} = 15i\]

Answer 10

what about the 4 in front tho

Answer 11

you multiply it to 15i

Answer 12

what's 15*4?

Answer 13

60

Answer 14

so what do you think will be the final answer?

Answer 15

\[\sqrt[4]{-255}=15i*4=60\]

Answer 16

where did i go?

Answer 17

wait.... is it \[\huge \sqrt[4]{-255} \; \; \text{or} \; \; 4\sqrt{-225}\]
???

Answer 18

the second one sorry still learning the things on here

Answer 19

so anyway... \[15i \times 4\]
what do you think is the product?

Answer 20

\[4\sqrt{-255}=15i*4=60i\]

Answer 21

right