How do you simplify $sqrt(50) - sqrt(18)?$

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Answer 1 · 2018-06-11T19:21:00

$2sqrt2$

The key realization here is that we can leverage the radical property

$sqrt(ab)=sqrtasqrtb$

Thus, we can rewrite $color(blue)(sqrt50)-color(red)(sqrt18)$ as

$color(blue)(sqrt(25*2))-color(red)(sqrt(9*2))$

which simplifies to

$5sqrt2-3sqrt2$

Factoring out a $sqrt2$ , we get

$sqrt2(5-3)$

Which simplifies to

$2sqrt2$

Hope this helps!

How do you simplify sqrt(50) - sqrt(18)?sqrt(50) - sqrt(18)?