Question

Rationalise 1 by √50​

Answer 1

Answer:

To rationalize the given number, we need to multiply it with it's rationalizating factor. As the given number's denominator is in the form $\sqrt{a}$, it is it's own rationalizing factor.

$\frac{1}{\sqrt{50}}*\frac{\sqrt{50}}{\sqrt{50}}\\=\frac{\sqrt{50}}{50}\\=\frac{5\sqrt{2}}{50}\\=\frac{\sqrt{2}}{10}$

Therefore the number can be rationalized and written as $\frac{\sqrt{2}}{10}$.

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