Question

Rationalise: ✓5+✓2 ÷ ✓5-✓2​

Answer 1

(√5+√2)/(√5-√2)=[(√5+√2)/(√5-√2)]*[(√5+√2)/(√5+√2)]

=[(√5+√2)^2]/5-2

=(5+2+2√10)/3

=(7+2√10)/3

Answer 2

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

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

$7 +2 \sqrt{10} \div 5 - 2$

$7 + 2\sqrt{10} \div 3$