Question

How do you simplify the square root of 2466?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`sqrt(2466) => sqrt(9 * 274)`

Then use this rule for radicals to simplify the expression:

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

`sqrt(color(red)(9) * color(blue)(274)) => sqrt(color(red)(9)) * sqrt(color(blue)(274)) => 3sqrt(274)`