How do you simplify $\sqrt{5} - \sqrt{45}$ $sqrt5 - sqrt 45$ ?

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Answer 1 · 2016-05-22T20:03:52

$- 2 . \sqrt{5}$ $-2.sqrt5$

$\sqrt{5} - \sqrt{45}$ $sqrt5 - sqrt45$

We have, $\sqrt{45}$ $sqrt45$ = $3 . \sqrt{5}$ $3. sqrt5$
as $45 = 3^{2} .5$ $45= 3^2 .5$ $= \sqrt{3^{2} . 5}$ $=sqrt(3^2. 5)$

and applying radical rule $\sqrt{n} {a b} = \sqrt{n} {a} \sqrt{n} {b}$ $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$= 3 . \sqrt{5}$ $=3. sqrt5$

Nowm as per question,
= $\sqrt{5} - 3 . \sqrt{5}$ $sqrt5 -3.sqrt5$
= $- 2 \sqrt{5}$ $-2 sqrt5$

How do you simplify √5−√45sqrt5 - sqrt 45?