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Verified Answer :

The answer is \(\frac{1}{12}\)

The simplified form of the expression √1/144 is:
\(\sqrt{ \frac{1}{144} } = \frac{ \sqrt{1} }{ \sqrt{144} } = \frac{ \sqrt{ 1^{2}}}{ \sqrt{ 12^{2} } } = \frac{1^{ \frac{2}{2} } }{ 12^{ \frac{2}{2} } } = \frac{ 1^{1} }{12^{1}} = \frac{1}{12}\)

Answer:

\(\sqrt{\frac{1}{144}}=\frac{1}{12}\)  which is the simplified form

Step-by-step explanation:

We have been given the expression:

\(\sqrt{\frac{1}{144}}\)

We have to find its simplified form means the maximum solved form of the given expression

As we know:

\(12^2=144\)

means\(\sqrt{144}=12\)

using:

\(a^2=b\)

\(\Rightarrow a=\sqrt{b}\)

Here, a=144 and b=12

Hence, the simplified expression of the given expression is:

\(\sqrt{\frac{1}{144}}=\frac{1}{12}\)