How do you rationalize $\frac{2 \sqrt{180 y}}{540}$ $(2sqrt(180y))/540$ ?

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How do you rationalize $\frac{2 \sqrt{180 y}}{540}$ $(2sqrt(180y))/540$ ?

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Answer 1 · 2018-04-10T21:15:04

Let's start by factorizing:

Explanation:

$180 = (2 \times 2) \times (3 \times 3) \times 5$ $180=(2xx2)xx(3xx3)xx5$
$540 = 2 \times 2 \times 3 \times 3 \times 3 \times 5$ $540=2xx2xx3xx3xx3xx5$

We may now take all the 'doubles' out from under the root:

$=(cancel2xxcancel3sqrt(5y))/(cancel2xx2xxcancel3xx3xx3xx5)=sqrt(5y)/90$

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How do you rationalize $\frac{2 \sqrt{180 y}}{540}$ $(2sqrt(180y))/540$ ?

1 Answer

Explanation:

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How do you rationalize $\frac{2 \sqrt{180 y}}{540}$ $(2sqrt(180y))/540$ ?