Question

Rationalize the denominator 1/√5

Answer 1

Answer:

$\frac{1}{ \sqrt{5} } \\ \frac{1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{ \sqrt{5} }{ { \sqrt{5} }^{2} } \\ = \frac{ \sqrt{5} }{5} \\ \\ hope \: it \: is \: helpful \: to \: you \\ please \: mark \: me \: brainliest$

Answer 2

$\displaystyle \sf{ \frac{1}{ \sqrt{5} } = \frac{ \sqrt{5} }{5} }$

Given :

The expression 1/√5

To find :

Rationalize the denominator

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is 1/√5

Step 2 of 2 :

Rationalize the denominator

$\displaystyle \sf{ \frac{1}{ \sqrt{5} } }$

Multiplying both of the numerator and denominator by √5 we get

$\displaystyle \sf{ \frac{1}{ \sqrt{5} } }$

$\displaystyle \sf{ = \frac{1 \times \sqrt{5} }{ \sqrt{5} \times \sqrt{5} } }$

$\displaystyle \sf{ = \frac{ \sqrt{5} }{ {( \sqrt{5} )}^{2} } }$

$\displaystyle \sf{ = \frac{ \sqrt{5} }{ 5 } }$

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