EQUALITY OF SURDS PRACTICE QUESTIONS

Solve for x and y given that they are irrational.

Problem 1 :

x + y √2 = 5 - 6√2

Solution

Problem 2 :

(x + y√2)(3 - √2) = - 2√2

Solution

Problem 3 :

Find rationals a and b such that 

(a + 2√2)(3 - √2) = 5 + b√2

Solution

Problem 4 :

Write √(1/7) in the form k√7. Then find the value of k.

Solution

Problem 5 :

(a + b√2)² = 33 + 20√2, find the values of a and b.

Solution

Problem 6 :

(a + b√2)² = 41 - 24√2, find the values of a and b.

Solution