How do you simplify $\frac{4}{\sqrt{10}}$ $4/sqrt10$ ?

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Answer 1 · 2016-08-10T20:43:44

$\frac{4}{\sqrt{10}} = \frac{2 \sqrt{10}}{5}$ $4/sqrt 10=color(blue)(2sqrt 10)/color(blue)5$

Rationalize the denominator by multiplying the fraction by $\frac{\sqrt{10}}{\sqrt{10}}$ $sqrt 10/sqrt 10$ .

$\frac{4}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}}$ $4/sqrt 10xxsqrt10/sqrt10$

Simplify.

$\frac{4 \sqrt{10}}{10}$ $(4sqrt 10)/10$

Simplify.

$\frac{2 \sqrt{10}}{5}$ $(2sqrt 10)/5$

How do you simplify 4√104/sqrt10?