Question

Rationalize the denominator √5+√2/√5-√2

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\bold{SOLUTION:-}$

$\bold{Should\:do}:-$

Rationalisation of denominator

$\boxed{\boxed{NOTE}}:-$

WHILE RATIONALISATION,MULTIPLY THE NUMERATOR AND DENOMINATOR WITH THE

SAME NUMBER WHICH HAS A SIGN CHANGED.

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

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

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

$\frac{7 + 2 \sqrt{20} }{3}$

Therefore , after doing the whole process ,the final answer is. $\frac{7 + 2 \sqrt{20} }{3}$