How do you simplify #3sqrt2 * 5sqrt10#?

1 Answer
Apr 21, 2016

Answer:

# = 30 sqrt( 5)#

Explanation:

#3sqrt2 * 5 sqrt10#

# = color(blue)(3) * sqrt2 * color(blue)(5 ) * sqrt10#

# = color(blue)(3 * 5) * sqrt2 * sqrt10#

# = 15 * sqrt(2 *10)#

# = 15 * sqrt(20)#

# = 15 * sqrt(2 * 2 * 5)#

# = 15 * sqrt(color(green)(2 ^2) * 5)#

# = 15 * color(green)(2) sqrt( 5)#

# = 30 sqrt( 5)#