How do you simplify sqrt104√104?

1 Answer
smendyka
Mar 14, 2018

See a solution process below:

Explanation:

First, rewrite the expression under the radical as:

sqrt(104) => sqrt(4 * 26)√104⇒√4⋅26

Now, use this rule for radicals to simplify the expression:

sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))√a⋅b=√a⋅√b

sqrt(color(red)(4) * color(blue)(26)) = sqrt(color(red)(4)) * sqrt(color(blue)(26)) => 2sqrt(26)√4⋅26=√4⋅√26⇒2√26

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