please can you show me how to simplify the following expression sqrt sign -7 then sqrt sign -105

Question

anonymous · Answer

whenever you're taking the square root of some negative number, write it out "i" on the outside of the radical and change the radicand to positive.

anonymous · Answer

can you please simplify and show me the answer in detail?

anonymous · Answer

i then sqrt 7 then i sqrt 105 would be the answer?

anonymous · Answer

ok.. for example... sqrt(-7):
$$\large \sqrt {-7} = i \times \sqrt {7} = \sqrt {7}i $$

anonymous · Answer

then the other would be the same other then it is 105 is that correct?

anonymous · Answer

yes..:)

anonymous · Answer

ok then i do understand it seeings how you made it. thank you, appreciate it:)

anonymous · Answer

glad to have helped... & yw... :)

anonymous · Answer

√ -7 = i * √7 = √7i and √-105 = i * √105 = √105i
would the "and" be a * sign in the middle?