Math, asked by shae2maridkbeauty, 1 year ago

rationalise the denominator of 1 root 3

Answers

Answered by Kili
53
Rationalization means to remove the root from the denominator To rationalize 1/root3: We have to multiply both numerator and denominator by root 3 1*root3/root 3*root3 =root 3/3 So our answer is root 3/3
Answered by Syamkumarr
4

Answer:

The rationalized form of \frac{1}{\sqrt{3} }  is  \frac{\sqrt{3} }{3} .

Step-by-step explanation:

Rationalization means removing the root from the denominator.

To rationalize \frac{1}{\sqrt{3} } , we will multiply the numerator and the denominator by \sqrt{3}

Therefore, we get,

\frac{1}{\sqrt{3} } =  \frac{1}{\sqrt{3} } * \frac{\sqrt{3}}{\sqrt{3}}

We know that \sqrt{3} * \sqrt{3} = 3

\frac{1}{\sqrt{3} }  =  \frac{\sqrt{3} }{3}

Therefore, the rationalized form of \frac{1}{\sqrt{3} }  is  \frac{\sqrt{3} }{3} .

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