Question

Q 1. classify the numbers as rational or irrational :
1. 2 - √ 5​

Answer 1

Answer:

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Step-by-step explanation:

we assume that 2-√5 is rational number

2-√5=a/b

squaring on both sides

(2-√5)²=(a/b)²

2²-2(2)(-√5)+√5²=a²/b²

4+4√5+5=a²/b²

9+4√5=a²/b²

4√5=a²/b²-9

4√5=a²-9b²/b²

√5=a²-9b²/4b²

hence out assumption is wrong

irrational≠rational