Question

rationalise the denominator of √2/√5​

Answer 1

RATIONALISING DENOMINATOR

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

Here the Denominator is Rational.

Rational numbers are those which can bd written in p/q form like here

5 = 5/1

Answer 2

√2/√5=√2/√5×√5/√5

=√10/[√5]×2

=√10/5

The denominator is rationalised.

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