Math, asked by nagamaniramesh91347, 8 months ago

Rationalise the denominator of 1/square root of
 \sqrt{3}

Answers

Answered by Blossomfairy
54

Correct Question :

Rationalise the denominator \tt{ \frac{1}{ \sqrt{3} } }

Answer :

\tt{ \frac{1}{ \sqrt{3} } }

We have to multiply √3 from denominator and numerator

\implies \tt{ \frac{1}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} } }

Then we will multiply 1 × √3 and we will write (√3)² and then multiply

\implies \tt{ \frac{ \sqrt{3} }{ (\sqrt{3} ) {}^{2} } }

As we know that \tt{ \sqrt{3}  \times  \sqrt{3} = 3 }

So the final answer is :-

\implies \tt \boxed{ \frac{ \sqrt{3} }{3} } \green \bigstar

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