Question

20. After rationalising the denominator of 5/√3+√2
we get the denominator as
a. 6
b. 5
C. 1
d. 3​

Answer 1

Step-by-step explanation:

$\frac{5}{ \sqrt{3} + \sqrt{2} }$

$= \frac{5}{ \sqrt{3} + \sqrt{2} } \times \frac{ \sqrt{3} - \sqrt{2} }{ \sqrt{3} - \sqrt{2} }$

$= \frac{5( \sqrt{3} - \sqrt{2}) }{( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} )}$

$= \frac{5( \sqrt{3} - \sqrt{2}) }{( { \sqrt{3}) }^{2} - ( { \sqrt{2} )}^{2} }$

$= \frac{5( \sqrt{3} - \sqrt{2}) }{3 - 2}$

$= \frac{5( \sqrt{3} - \sqrt{2} )}{1}$

After rationalising the denominator of 5/√3+√2 ,we get the denominator as 1 .