Question

rationalise the denominator 1/root 7​

Answer 1

Answer:

$\huge\rm{\underline{\underline{Given\rightarrow}}}$

• $\rm\green{Fraction=\dfrac{1}{\sqrt{7}}}$

$\huge\rm{\underline{\underline{To\:Perform\rightarrow}}}$

$\rm\purple{Rationilsation\:of\:the\:denominator}$

$\huge\rm{\underline{\underline{Answer\rightarrow}}}$

$\rm\blue{\rightarrow{\dfrac{1}{\sqrt{7}}}}$

$\rm\blue{\rightarrow{\dfrac{1}{\sqrt{7}}\times\dfrac{\sqrt{7}}{\sqrt{7}}}}$

$\rm\blue{\rightarrow{\dfrac{1\times\sqrt{7}}{\sqrt{7}\times{\sqrt{7}}}}}$

$\rm\blue{\rightarrow{\dfrac{\sqrt{7}}{\sqrt{7^2}}}}$

$\rm\blue{\rightarrow{\dfrac{\sqrt{7}}{7}}}$

${\boxed{\boxed{\rm{\pink{\rightarrow{\dfrac{\sqrt{7}}{7}\checkmark}}}}}}$

☞ Hence $\rm{\dfrac{\sqrt{7}}{7}}$ is the required rationalised form of the given fraction.

HOPE IT HELPS.

Answer 2

Answer:

$\frac{1}{ \sqrt{7} } \\ = \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } \\ = \frac{ \sqrt{7} }{7}$