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How do I do this properly (in reference to the attached image)? I'm rather lost on what exactly what I'm supposed to do.

How Do I Do This Properly In Reference To The Attached Image Im Rather Lost On What Exactly What Im Supposed To Do class=

Answer :

SOLUTION

We want to write

[tex]\sqrt{36}[/tex]

as a prodouct of two square roots of perfect square

36 can be written as

[tex]\begin{gathered} 36=2\times2\times3\times3 \\ =(2\times2)\times(3\times3) \\ =4\times9 \end{gathered}[/tex]

Also 4 and 9 are perfect square because

[tex]\begin{gathered} \sqrt{4}=2 \\ \sqrt{9}=3 \\ since\text{ 2 and 3 are both whole numbers } \\ so\text{ } \\ \sqrt{36}=\sqrt{4}\times\sqrt{9} \end{gathered}[/tex]

Hence the answer is

[tex]\sqrt{4}\times\sqrt{9}[/tex]

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