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

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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:

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

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

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

$5sqrt(144) =>$

$5 xx 12 =>$

$60$