How do you simplify: the square root of -175 ?

2 Answers
Jul 22, 2015

Answer:

#5i*sqrt(7)#

Explanation:

Factor the number to primes:

#sqrt(-125)=sqrt(-1*5*5*7)#

Pull out the duplicate 5 and #i#:
#sqrt(-1*5*5*7)=5i*sqrt(7)#

Jul 22, 2015

Answer:

#sqrt(-175) = 5sqrt(7)i#

Explanation:

#sqrt(-175) = sqrt(175)*sqrt(-1)#

#color(white)("XXXX")##= sqrt(175)i#

#color(white)("XXXX")##= sqrt(5^2*7)i#

#color(white)("XXXX")##= 5sqrt(7)i#