How do you simplify #2sqrt(2) times 4sqrt (40) #?

1 Answer
Aug 26, 2016

Answer:

#32sqrt5#

Explanation:

#color(blue)(2sqrt2xx4sqrt40#

#"First multiply the coefficients of the roots"# #(2 and 4)#

#rarrunderbrace2sqrt2xxunderbrace(4)sqrt40#

#rarr8xxsqrt2xxsqrt40#

#"Multiply the roots"#

#rarr8xxunderbrace(sqrt2xxsqrt40)#

#rarr8sqrt(2xx40)#

#rarr8sqrt(80)#

#"Simplify the root"#

#rarr8sqrt(4xx4xx5)#

#rarr8xx2xx2xxsqrt(5)#

#color(green)(rArr32sqrt(5)#

#"Cannot be simplified further"#