Question

if √7+√6/√7-6=a+b√42 ,then a/b​

Answer 1

Answer:

A = 13 , B = 2

if you need explanation tell me i will give you

Answer 2

Answer:

a = 13 , b = 2 and a / b = 13 / 2 or 6.5

Step-by-step explanation:

$given \: = \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} - \sqrt{6} }$

By Rationalising the denominator ,

$\frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} - \sqrt{6} } \times \frac{ \sqrt{7} + \sqrt{6} }{ \sqrt{7} + \sqrt{6} }$

$\frac{ {{(\sqrt{7} + \sqrt{6} ) }}^{2} }{ {(\sqrt{7})}^{2} - { (\sqrt{6} )}^{2} }$

$\frac{7 + 6 + 2( \sqrt{7})( \sqrt{6}) }{7 - 6}$

$\frac{13 + 2 \sqrt{42} }{1}$

Now By comparing both the terms ,

$13 + 2 \sqrt{42} = a + b \sqrt{42}$

Hence ,

as a = 13 , b = 2 ;

a / b = 13 / 2 or 6.5