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Answer:

 \(\sqrt{16x^{36} }\) =   ± 4 \(\{x^{18}}\).

Step-by-step explanation:

Given : \(16x^{36}\).

To find : What is the square root.

Solution : We have given that  \(16x^{36}\).

Taking square root

\(\sqrt{16x^{36} }\).

BY the radical rule :

\(\sqrt{a*b} = \sqrt{a} *\sqrt{b}\).

So, we can write

\(\sqrt{16x^{36} }\) = \(\sqrt{16} *\sqrt{x^{36}}\).

We know that  \(\sqrt{16}\)= 4  

  \(\sqrt{x^{36}}\) =  \(\{x^{36/2}}\).

Then \(\sqrt{16x^{36} }\) =   ± 4  \(\{x^{18}\).

Therefore,  \(\sqrt{16x^{36} }\) =   ± 4 *  \(\{x^{18}\).