How do you simplify $2sqrt45$ ?

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Answer 1 · 2015-10-14T17:19:05

$2sqrt(45)=6sqrt(5)$

The target is to write $45$ as a multiplication of some squares. Keeping the 2 aside for now.

Factorising:

$45=9times5=1times3^2times5$

$:.2sqrt(45)=2sqrt(3^2times5)=2times(sqrt(3^2)timessqrt(5))=$

$2times3timessqrt(5)=6sqrt(5)$

How do you simplify 2sqrt452sqrt45?