Question

(square root of 6+the square root of 11)/(square root of 5+square root of 3) =

Answer 1

It should be 22.880627.

Answer 2

`(√(30) + √(55)- √(33) -3√(2) )/( 2 )`

Step-by-step explanation

The given radical expression is

`( √(6) + √(11) )/( √(5) + √(3) )`

We rationalize the denominator to get:

`( √(6) + √(11) )/( √(5) + √(3) ) * (√(5) - √(3))/(√(5) - √(3))`

This implies that:

`(( √(6) + √(11) )(√(5) - √(3)))/( (√(5) + √(3))(√(5) - √(3)) )`

We expand using the distributive property and also applying difference of two squares on the denominator.

`\frac{( √(6) * √(5) - √(6) * √(3) + √(5) * √(11) - √(3) * √(11) )}{ {( √(5) )}^(2) - {( √(3) )}^(2) }`

This will give us,

`(√(30) - 3√(2) + √(55)-√(33) )/( 5 - 3 )`

`(√(30) + √(55)- √(33) -3√(2) )/( 2 )`