What is 5 square root of 8 times square root 18?

Question

1561 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T22:17:38

See a solution process below:

First, we can write this as an algebraic expression:

#5sqrt(8) * sqrt(18)#

Now, we can use this rule of exponents to combine the radicals:

#sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))#

#5sqrt(color(red)(8)) * sqrt(color(blue)(18)) =>#

#5sqrt(color(red)(8) * color(blue)(18)) =>#

#5sqrt(144) =>#

#5 xx 12 =>#

#60#