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:

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

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

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

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

$91sqrt(2)$

How do you simplify sqrt16562 sqrt16562 ?