Question

when the denominator of 1/2√5 is rationalized, it becomes √k/10 find k.​

Answer 1

$Given \: \frac{1}{2\sqrt{5}} = \frac{\sqrt{k}}{10}$

$\implies \frac{\sqrt{5}}{2\sqrt{5}\times \sqrt{5}} = \frac{\sqrt{k}}{10}$

$\implies \frac{\sqrt{5}}{2 \times 5} = \frac{\sqrt{k}}{10}$

$\implies \frac{\sqrt{5}}{10} = \frac{\sqrt{k}}{10}$

/* Compare bothsides,we get */

$\implies k = 5$

Therefore.,

$\red{ Value \: of \: k } \green { = 5 }$

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