Question

rationalize the denominator 2/3√3​

Answer 1

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$\frac{2}{3 \sqrt{3} } \times \frac{3 \sqrt{3} }{3 \sqrt{3} } \\ \frac{6 \sqrt{3} }{27} \\ \frac{2 \sqrt{3} }{9}$

Answer 2

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➡️✔✔✅To rationalize a fraction, we need to make sure that its denominator doesn't contain any irrational number.

For rationalizing this fraction, we need to remove root3 from denominator.

To do this the least number is chosen which can do this. Here ${\sqrt{3}}$ can be used to rationalise the fraction.

Multiplying ${\sqrt{3}}$ to numerator and denominator.

2/3${\sqrt{3}}$ × ${\sqrt{3}}$/${\sqrt{3}}$

2 × ${\sqrt{3}}$/3×3

= 2${\sqrt{3}}$/9

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