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