Simplify each of the following by rationalisingthe denominator;`1/(5+sqrt(2))`(ii) `(5+sqrt(6))/(5-sqrt(6))`(iii) `(7+3sqrt(5))/(7-3sqrt(5))`(iv) `(2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))`

Simplify each of the following by rationalisingthe denominator;`1/(5+s

1.	Simplify each of the following by rationalisingthe denominator;`1/(5+sqrt(2))`(ii) `(5+sqrt(6))/(5-sqrt(6))`(iii) `(7+3sqrt(5))/(7-3sqrt(5))`(iv) `(2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))`
Answer» 1)`1/(5+sqrt2)=(5-sqrt2)/(5^2-sqrt2^2)=(5-sqrt2)/(5-4)=5-sqrt2` 2)`(5+sqrt6)/(5-sqrt6)=(5+sqrt6)^2/(5^2-sqrt6^2)` `=(25+6+10sqrt6)/(25-6)=(31+10sqrt6)/19` 3)`(7+3sqrt5)/(7-3sqrt5)=(7+3sqrt5)^2/(7^2-(3sqrt5)^2)` `=(49+45+14sqrt5)/(49-45)=(94+14sqrt5)/4`.

The simplest rationalising factor of 2√5 - √3 isA. 2√5 + 3B. 2√5 + C. √5 + √3D. √5 - √3
The simplest rationalising factor of √3+ √5 isA. √3 - 5B. 3 - √5C. √3 - √5D. √3 + √5
Simplify:(√8 – √2) (√8 + √2)
Simplify each of the following:(i) \(\sqrt[3]{4}\) x \(\sqrt[3]{16}\)(ii) \(\frac{\sqrt[4]{1250}}{\sqrt[4]{2}}\)
Simplify:(3 + √3)(5 - √2)
Simplify:(3 + √3) (3 – √3)
Simplify:(4 + √7) (3 + √2)
Simplify:(√5 – √2) (√5 + √2)
Simplify:(√3 + √7)2
Simplify:(√5 – √3)2.