Classify the following numbers as rational or irrational with justification:

Question

Classify the following numbers as rational or irrational with justification: (1 + √5 ) − (4 + √5 )

Philoid · Accepted Answer

The given number is rational number.

Justification:

Consider (1 + √5) – (4 + √5) = 1 – 4 + √5 -√5

= 1 – 4

= 3, which is rational.

Thus, (1 + √5) – (4 + √5) is rational.