Question

Write an Irrational number that can be added to the irrational number 5 to get a rational sum of 6.​

Answer 1

41 -12√5

Explanation:

• All square roots of natural numbers, other than of perfect squares, are irrational.

so, let the unknown irrational number be x,

solve:

√x + √5 = 6

√x = 6 - √5

( √x ) ² = ( 6 - √5 )²

x = ( 6 - √5 )( 6 - √5 )

x = 36 -6√5 -6√5 + 5

x = 41 -12√5