Answer :

Noah11012
You split a square root into two square roots if it is not a prime number.

[tex]\sqrt{ab} = \sqrt{a}\sqrt{b}[/tex]

Find two factors where one is a perfect square.

[tex]\sqrt{27a} = \sqrt{3a}\sqrt{9} = 3\sqrt{3a}[/tex]
apologiabiology
remember
[tex]\sqrt{ab}=(\sqrt{a})(\sqrt{b})[/tex]

so

[tex]\sqrt{27a}=(\sqrt{27})(\sqrt{a})=[/tex]
[tex](\sqrt{(3)(3)(3)})(\sqrt{a})=[/tex]
[tex](\sqrt{(3)(3)})(\sqrt{3})(\sqrt{a}=[/tex]
[tex](3)(\sqrt{3})(\sqrt{a})=[/tex]
[tex](3)(\sqrt{3a})=[/tex]
[tex]3\sqrt{3a}[/tex]

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