Question

write the rationalize factor of
$\frac{1}{ \sqrt{7 - \sqrt{4} } }$
​

Answer 1

Step-by-step explanation:

Question:-

Rationalising Factor of:

\frac{1}{ \sqrt{5 + 7 - \sqrt{11} } }

5+7−

11

1

Solution:-

Simplify it:

\frac{1}{ \sqrt{12 - \sqrt{11} } }

12−

11

1

So, the rationalising Factor will be

\frac{1}{ \sqrt{ 12 - \sqrt{11} } }

12−

11

1

Answer 2

Answer:

$\frac{ \sqrt{5} }{5}$

Step-by-step explanation:

$\frac{1}{ \sqrt{7 - \sqrt{4 } } } \\ = \frac{1}{ \sqrt{7 - 2} } \\ = \frac{1}{ \sqrt{5} } \\ = \frac{ \sqrt{5} }{ \sqrt{5 \times \sqrt{5} } } \\ = \frac{ \sqrt{5} }{5}$