How do you simplify $\frac{\sqrt{80}}{\sqrt{5}}$ $sqrt80 / sqrt5$ ?

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How do you simplify $\frac{\sqrt{80}}{\sqrt{5}}$ $sqrt80 / sqrt5$ ?

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Answer 1 · 2016-06-08T11:50:29

$\sqrt{16} = 4$ $sqrt16 = 4$

Explanation:

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.
$\frac{\sqrt{80}}{\sqrt{5}} = \sqrt{\frac{80}{5}}$ $sqrt80/sqrt5 = sqrt(80/5)$

$\sqrt{\frac{80}{5}} = \sqrt{16} = 4$ $sqrt(80/5) = sqrt16 = 4$

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

$\frac{\sqrt{80}}{\sqrt{5}} = \frac{\sqrt{16 \times 5}}{\sqrt{5}} separate into two roots$ $sqrt80/sqrt5 = sqrt(16xx5)/sqrt5" separate into two roots"$

$\frac{\sqrt{16} \times \sqrt{5}}{\sqrt{5}} = \sqrt{16} = 4$ $(sqrt16 xx sqrt5)/sqrt5 " " = sqrt16 = 4$

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How do you simplify $\frac{\sqrt{80}}{\sqrt{5}}$ $sqrt80 / sqrt5$ ?

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