Question

prove that √2-3√5 is an irrational numbers​

Answer 1

Answer:

They are

Step-by-step explanation:

Draw a number line and plot them on it

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Answer 2

Answer:

Let x=2−3√5 be a rational number.

3√5 =2−x

√5 = 2−x/3

Since x is rational, 2-x is rational and hence 2-x/3 is also rational number

⇒ √5 is a rational numbers, which is a contradiction.

Hence 2−3√5 must be an irrational number.

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