Question

b) Prove that 2V 3-V5 is an irrational number.​

Answer 1

Step-by-step explanation:

To Prove :  2√3 + √5 is irrational

we know that √3 & √5 are irrational numbers.

Now we use result which states that

Product of a rational and an irrational no. is an irrational no.

⇒ 2√3 is irrational no.

Now. according to closure property of irrational no.

Sum of two irrational no. is also an irrational no.

⇒ 2√3 + √5 is an irrational no.

Hence Proved

Answer 2

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Step-by-step explanation: