Add the following:$4\sqrt{5}+5\sqrt{5}$

Given :

The given expression is $4 √ 5 + 5 √ 5$.

To do :

We have to add the given expression.

Solution :

We know that,

$a√ c + b√ c = (a+b) √ c$ 

$4 √ 5 + 5 √ 5 =  ( 4 + 5 )√5$

                      $ =  9√5$ 

                       $= 9 \times 2.2360679775$

                       $= 20.1246117975$.

Therefore, the value of $4 √ 5 + 5 √ 5$ is 20.1246117975.

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Updated on: 10-Oct-2022

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