How do you simplify $sqrt80 / sqrt5$ ?

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Answer 1 · 2016-06-08T11:50:29

$sqrt16 = 4$

Neither 80 nor 5 are square numbers. There are two options:

First method: When we are dividing with square roots, we can combine the two roots into one and then simplify.
$sqrt80/sqrt5 = sqrt(80/5)$

$sqrt(80/5) = sqrt16 = 4$

Second method Write 80 as a product of factors,
Note that $80 = 16 xx 5$

$sqrt80/sqrt5 = sqrt(16xx5)/sqrt5" separate into two roots"$

$(sqrt16 xx sqrt5)/sqrt5 " " = sqrt16 = 4$

How do you simplify sqrt80 / sqrt5sqrt80 / sqrt5?