How do you simplify $\sqrt{5} (\sqrt{5} + 2)$ $sqrt 5(sqrt5+2)$ ?

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Answer 1 · 2018-03-10T18:17:54

See a solution process below:

To simplify this expression multiply each term within the parenthesis by the term outside the parenthesis:

$\sqrt{5} (\sqrt{5} + 2) \Rightarrow$ $color(red)(sqrt(5))(sqrt(5) + 2) =>$

$\sqrt{5} \sqrt{5} + (\sqrt{5} \times 2) \Rightarrow$ $color(red)(sqrt(5))sqrt(5) + (color(red)(sqrt(5)) xx 2) =>$

$5 + 2 \sqrt{5}$ $5 + 2sqrt(5)$

Answer 2 · 2018-03-10T18:20:35

$5 + 2 \sqrt{5}$ $5+2sqrt5$

Like we would distribute a term outside to the terms in parentheses, we would do the same with the radical. This expression will be equal to:

$(\sqrt{5} \cdot \sqrt{5}) + 2 \sqrt{5}$ $(sqrt5*sqrt5)+2sqrt5$

Which is equal to:

$= {(\sqrt{5})}^{2} + 2 \sqrt{5}$ $=(sqrt5)^2+2sqrt5$

The radical and squaring the radical will cancel out, and we get:

$5 + 2 \sqrt{5}$ $5+2sqrt5$

as our final answer. Hope this helps!

How do you simplify √5(√5+2)sqrt 5(sqrt5+2)?