What is #5sqrt(-64) + 4sqrt4#?

1 Answer
Jun 25, 2018

#color(blue)(8(5i+1))#

Explanation:

Note that #sqrt(-64)# can only be evaluated as a complex number: #isqrt(64)#

#5sqrt(-64)+4sqrt(4)#

#color(white)("XXX")=5isqrt(64)+4sqrt(4)#

#color(white)("XXX")=5i * 8 + 4*2#

#color(white)("XXX")=5i * 8 +8#

#color(white)("XXX")=8(5i+1)#