Question

Express the following in standard form
please help and explain.

√-16
√-24

Answer 1

4i ,2i√6

Explanation:

√-16

so we know that negatives can be square rooted....

However imaginary numbers exist

and i which is imaginary numbers symbol is equal to

i^2=-1

i= √-1

You can show the number in two parts (imaginary number and real part)

so the 16 is the real part and the -1 is imaginary

so now we can simplfiy the two radicals

√16 x √-1

4 x i

4i

Again

√24 √-1

√4 x √6 x √-1

√4 x √6 x √-1

2 x √6 x i

2i√6