Question

please answer these it's very important for me ​

Answer 1

HOW TO SOLVE?

1. $\sqrt{(144 ){}^{ - 2} } \\ \sqrt{ (\frac{1}{144}) {}^{2} } \\ ( (\frac{1}{144}) {}^{2}) {}^{ \frac{1}{2} } \\ (\frac{1}{144}) {}^{2 \times \frac{1}{2} } \\ ( \frac{1}{144}) {}^{1} = \frac{1}{144}$$2.\sqrt{(3) {}^{ - 2} } = \sqrt{( \frac{1}{3}) } {}^{2} \\ (( \frac{1}{3}) {}^{2}) {}^{ \frac{1}{2} } \\ ( \frac{1}{3} ) {}^{2 \times \frac{1}{2} } \\ ( \frac{1}{3} ) {}^{1} = \frac{1}{3}$

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Answer 2

Hello mate :)

1 )

$\bf \dashrightarrow \sqrt{ {(144)}^{ - 2} } \\ \\ \tt\implies \: \sqrt{ { \frac{1}{144} }^{ 2} } \\ \\ \tt\implies \: \bigg( { \frac{1}{144}\bigg) } ^{ \cancel2 \times \frac{ 1}{ \cancel2} } \\ \\ \tt \implies \: \bigg( \frac{1}{ {12}^{2} } \bigg) \\ \\ \tt \implies \: \bigg( \frac{1}{12} \bigg) ^{2} = \red{\frac{1}{144} \: \: \green{ [Ans] }}$

2)

$\dashrightarrow \bf \sqrt{(3)^{ - 2} } \\ \\ \tt \implies \sqrt{ \bigg(\frac{1}{3} \bigg) ^{2} } \\ \\ \tt \implies { \bigg(\frac{1}{3} \bigg) } ^{ \cancel2 \times \frac{1}{ \cancel2} } \\ \\ \tt \therefore \red{\frac{1}{3} \: \: \green{[Ans]}}$

Hope this helps you :)