How do you simplify $\frac{2}{\sqrt{5}}$ $2/sqrt(5)$ ?

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How do you simplify $\frac{2}{\sqrt{5}}$ $2/sqrt(5)$ ?

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Answer 1 · 2018-04-18T11:32:11

$\sqrt{\frac{4}{5}}$ $sqrt(4/5)$

Explanation:

Just turn two into the square root of four so you go from this:

$\frac{2}{\sqrt{5}}$ $2/sqrt5$

to this:

$\frac{\sqrt{4}}{\sqrt{5}}$ $sqrt4/sqrt5$

Now you can put the square root infornt of them to get:

$\sqrt{\frac{4}{5}}$ $sqrt(4/5)$

And that is pretty much it.

Answer 2 · 2018-04-18T13:18:16

$\frac{2 \sqrt{5}}{5} = \frac{2}{5} \sqrt{5}$ $(2sqrt5)/5=2/5sqrt5$

Explanation:

$rationalise the denominator$ $color(blue)"rationalise the denominator"$

$that is remove the radical from the denominator$ $"that is remove the radical from the denominator"$

$This is done by multiplying numerator/denominator$ $"This is done by multiplying numerator/denominator"$
$by the radical on the denominator$ $"by the radical on the denominator"$

$note that \sqrt{a} \times \sqrt{a} = a$ $"note that "sqrtaxxsqrta=a$

$\Rightarrow \frac{2}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{2 \sqrt{5}}{5} = \frac{2}{5} \sqrt{5}$ $rArr2/sqrt5xxsqrt5/sqrt5=(2sqrt5)/5=2/5sqrt5$

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How do you simplify $\frac{2}{\sqrt{5}}$ $2/sqrt(5)$ ?

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