Question

rationalise the denominator of the following 1 / root 5 + root 2

Answer 1

Answer:√5-√2/3

Step-by-step explanation:

1/√5+√2

Let R.F=√5-√2

(1/√5+√2)×(√5-√2/√5-√2)

√5-√2/(√5+√2)(√5-√2)

√5-√2/5-2

√5-√2/3

Answer 2

$\large \tt AHOY!! \:$

$\sf given : - \frac{1}{ \sqrt{5} + \sqrt{2} } \\ \\ \sf = \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \\ = \sf \frac{ \sqrt{5} - \sqrt{2} }{( \sqrt{5} + \sqrt{2} )( \sqrt{5} - \sqrt{2} ) } \\ \\ = \sf \frac{ \sqrt{5} - \sqrt{2} }{( { \sqrt{5} )}^{2} - {( \sqrt{2} )}^{2} } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} \\ \\ \sf = \frac{ \sqrt{5} - \sqrt{2} }{3}$


$\large \tt HOPE \: THIS \: HELPS!!$