Question

if √5 is irriational then prove that 2-3√5 is irriational​

Answer 1

Answer:

√5 is irrational.

Step-by-step explanation:

√5 is irrational so 3×√5 will also be irrational. So, the given term is also irrational.

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Answer 2

Answer:

let 2-3√5 be a rational no. in its simplest form p/q

now,a/q

2-3√5=p/q

-3√5=p/q-2

√5=p-2q/3q

here, the fraction is in the rational form but it's sum is √5, which is an irrational number. this proves our supposition wrong. so, 2-3√5 is an irrational number.

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