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]
