How do you simplify $2 \sqrt{45} - 2 \sqrt{5}$ $2sqrt45-2sqrt5$ ?

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How do you simplify $2 \sqrt{45} - 2 \sqrt{5}$ $2sqrt45-2sqrt5$ ?

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Answer 1 · 2017-05-12T18:26:27

The simplified form of given expression is $4 \sqrt 5$ $4√5$

Explanation:

$2 \sqrt 45 - 2 \sqrt 5$ $2√45−2√5$
$= 2 \sqrt (9 \cdot 5) - 2 \sqrt 5$ $=2√(9*5)−2√5$
$= 2 \sqrt 9 \sqrt 5 - 2 \sqrt 5$ $=2√9√5−2√5$
$= 2 (3) \sqrt 5 - 2 \sqrt 5$ $=2(3)√5−2√5$
$= 6 \sqrt 5 - 2 \sqrt 5$ $=6√5−2√5$

Taking $\sqrt 5$ $√5$ common from both terms
$= \sqrt 5 (6 - 2)$ $=√5(6−2)$
$= \sqrt 5 (4)$ $=√5(4)$
$= 4 \sqrt 5$ $=4√5$

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How do you simplify $2 \sqrt{45} - 2 \sqrt{5}$ $2sqrt45-2sqrt5$ ?

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How do you simplify $2 \sqrt{45} - 2 \sqrt{5}$ $2sqrt45-2sqrt5$ ?