How do you simplify the square root of 2466?

1 Answer
smendyka
Jun 27, 2018

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)#

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