Question

Rationalise the denominator of :

Answer 1

$the \: answer \: is \: \boxed{ \green{6 + 2 \sqrt{7} }}$

Step-by-step explanation:

$\frac{4}{3 - \sqrt{7} }$

$\frac{4(3 + \sqrt{7} )}{(3 - \sqrt{7} )(3 + \sqrt{7} )}$

$\frac{12 + 4 \sqrt{7} }{( {3})^{2} - ( { \sqrt{7} })^{2} }$

$\frac{12 + 4 \sqrt{7} }{9 - 7}$

$\frac{4(3 + \sqrt{7} )}{2}$

$2(3 + \sqrt{7} )$

$6 + \sqrt{7}$

Answer 2

Answer:

the \: answer \: is \: \boxed{ \green{6 + 2 \sqrt{7} }}theansweris

6+2

7

Step-by-step explanation:

\frac{4}{3 - \sqrt{7} }

3−

7

4

\frac{4(3 + \sqrt{7} )}{(3 - \sqrt{7} )(3 + \sqrt{7} )}

(3−

7

)(3+

7

)

4(3+

7

)

\frac{12 + 4 \sqrt{7} }{( {3})^{2} - ( { \sqrt{7} })^{2} }

(3)

2

−(

7

)

2

12+4

7

\frac{12 + 4 \sqrt{7} }{9 - 7}

9−7

12+4

7

\frac{4(3 + \sqrt{7} )}{2}

2

4(3+

7

)

2(3 + \sqrt{7} )2(3+

7

)

6 + \sqrt{7} 6+

7