How do you simplify #sqrt16562 #?

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Answer 1 · 2018-03-19T12:38:06

See a solution process below:

We can rewrite the term under the radical as:

#sqrt(49 * 169 * 2)#

We can now use this rule for radicals to simplify the radical:

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

#sqrt(color(red)(49) * color(blue)(169) * 2) =>#

#sqrt(color(red)(49)) * sqrt(color(blue)(169)) * sqrt(2) =>#

#7 * 13 * sqrt(2) =>#

#91sqrt(2)#