How do you find the square root of -59?

1 Answer

Answer:

#sqrt(-59)=sqrt((-1)(59))=sqrt(-1)sqrt(59)=isqrt59#

Explanation:

#sqrt(-59)=sqrt((-1)(59))=sqrt(-1)sqrt(59)#

We can now look at each square root separately.

#sqrt(-1)#

We use the nomenclature #i#, and so #sqrt(-1)=i#

#sqrt59#

The number 59 is prime, meaning it has no factors other than itself and one. Therefore it can't be broken down to anything smaller.

So we end up with:

#sqrt(-59)=sqrt((-1)(59))=sqrt(-1)sqrt(59)=isqrt59#